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Finding the Fourth Proportional to 10,119.13, 15,179.97 and 5,432.70

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Solution

The fourth proportional to 10,119.13, 15,179.97 and 5,432.70 is: 8,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.13 : 15,179.97 = 5,432.70 : x
  2. Step 2: Convert to fraction form
    10,119.13/15,179.97 = 5,432.70/x
  3. Step 3: Cross multiply
    10,119.13x = 15,179.97 × 5,432.70
  4. Step 4: Simplify right side
    10,119.13x = 82,468,213.36
  5. Step 5: Solve for x
    x = 82,468,213.36/10,119.13
  6. Step 6: Final answer
    x = 8,149.73

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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.