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Finding the Fourth Proportional to 10,353.42, 15,517.17 and 5,160.78

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Solution

The fourth proportional to 10,353.42, 15,517.17 and 5,160.78 is: 7,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.42 : 15,517.17 = 5,160.78 : x
  2. Step 2: Convert to fraction form
    10,353.42/15,517.17 = 5,160.78/x
  3. Step 3: Cross multiply
    10,353.42x = 15,517.17 × 5,160.78
  4. Step 4: Simplify right side
    10,353.42x = 80,080,700.59
  5. Step 5: Solve for x
    x = 80,080,700.59/10,353.42
  6. Step 6: Final answer
    x = 7,734.71

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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.