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Or take a 1-to-5 belt balancer from here[wiki.factorio.com], this gives you five belts with 1:5 each. Split off half of one belt to get 1:10, then combine all the others back into one belt.
If it doesn't need to be exactly 1:10, you can easily get 1:8 by chaining three splitters, like this:
It is a bit strange thing to want though. Normally you just supply as much as it can take.ie if the left needs 1/10 of the right then as long as you supply enough it will naturally draw 1/10 from a single splitter.
If you have 10 unbalanced belts incoming and you want to load them onto a 5 wagon train then obviously a 10 to 10 balancer is the way to go.
thats why i like to use cargo wagons of either two or four. i just place a four way balancer on each side, have each four way balancer send one belt to each of the wagons on each side, and presto! i have 8 belts for loading, and i can plug in belts wherever i want and they will automatically be balanced across the length of the wagons.
i do a similar thing for unloading. this way i get the maximum throughput out of my trains.
Here is a video which hopefully will help. (Note: will not get you your 1:10 ratio.)
if you need a count perfect solution that would a bit more complex.