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Let's represent the unknown number as x. The equation can be written as 4x = 12 + 7. Simplifying, we get 4x = 19. To find the value of x, we divide both sides by 4, giving us x = 19/4 = 4.75. Therefore, the number that, when multiplied by 4, gives the answer 12 with a remainder of 7 is 4.75.

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