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Finding the Fourth Proportional to 10,344.84, 15,517.56 and 3,775.92

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Solution

The fourth proportional to 10,344.84, 15,517.56 and 3,775.92 is: 5,663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.84 : 15,517.56 = 3,775.92 : x
  2. Step 2: Convert to fraction form
    10,344.84/15,517.56 = 3,775.92/x
  3. Step 3: Cross multiply
    10,344.84x = 15,517.56 × 3,775.92
  4. Step 4: Simplify right side
    10,344.84x = 58,593,065.16
  5. Step 5: Solve for x
    x = 58,593,065.16/10,344.84
  6. Step 6: Final answer
    x = 5,663.99

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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.