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Finding the Fourth Proportional to 7,904.64, 11,839.68 and 3,792

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Solution

The fourth proportional to 7,904.64, 11,839.68 and 3,792 is: 5,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.64 : 11,839.68 = 3,792 : x
  2. Step 2: Convert to fraction form
    7,904.64/11,839.68 = 3,792/x
  3. Step 3: Cross multiply
    7,904.64x = 11,839.68 × 3,792
  4. Step 4: Simplify right side
    7,904.64x = 44,896,066.56
  5. Step 5: Solve for x
    x = 44,896,066.56/7,904.64
  6. Step 6: Final answer
    x = 5,679.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.