if you replace it with water its an average based on each gallon of cider being 12% and the gallon of water being 0%
SOOOOOO
12 + 12 + 12 + 12 + 12 + 0 )/6 or (12*5)/6 = 10%
BUT if you add something with sugar in it like apple juice the yeast is till active, they will convert the sugar in the juice to alcohol. In the case of apple juice there is enough sugar on average for a PA of 5% IF you ferment it out dry, so in that case the formula would be
(12*5 + 5)/6 and would = 10.833
The reason the first two posts were more than 10% is we both thought you had 6 gallons at 12% ABV and that you were adding 1 gallon more of water to that or
(12*6)/7 = 10.286