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Finding the Fourth Proportional to 10,159.38, 15,239.07 and 4,312.80

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Solution

The fourth proportional to 10,159.38, 15,239.07 and 4,312.80 is: 6,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.38 : 15,239.07 = 4,312.80 : x
  2. Step 2: Convert to fraction form
    10,159.38/15,239.07 = 4,312.80/x
  3. Step 3: Cross multiply
    10,159.38x = 15,239.07 × 4,312.80
  4. Step 4: Simplify right side
    10,159.38x = 65,723,061.10
  5. Step 5: Solve for x
    x = 65,723,061.10/10,159.38
  6. Step 6: Final answer
    x = 6,469.20

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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.