You're going to have to estimate it. If you think the carryover losses will cover it then you have nothing to worry about - file the extension and wait until September. If you are worried that the losses won't cover it then do the math and figure out your worst-case scenario and pay as much of that as possible. When you are estimating a payment it is a good idea to aim high in order to avoid the penalties and interest for underpayment.
@ulises78
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