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Finding the Fourth Proportional to 10,096.43, 15,147.74 and 5,169.53

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Solution

The fourth proportional to 10,096.43, 15,147.74 and 5,169.53 is: 7,755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.43 : 15,147.74 = 5,169.53 : x
  2. Step 2: Convert to fraction form
    10,096.43/15,147.74 = 5,169.53/x
  3. Step 3: Cross multiply
    10,096.43x = 15,147.74 × 5,169.53
  4. Step 4: Simplify right side
    10,096.43x = 78,306,690.35
  5. Step 5: Solve for x
    x = 78,306,690.35/10,096.43
  6. Step 6: Final answer
    x = 7,755.88

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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.