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Finding the Fourth Proportional to 10,034.70, 15,061.31 and 5,107.89

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Solution

The fourth proportional to 10,034.70, 15,061.31 and 5,107.89 is: 7,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.70 : 15,061.31 = 5,107.89 : x
  2. Step 2: Convert to fraction form
    10,034.70/15,061.31 = 5,107.89/x
  3. Step 3: Cross multiply
    10,034.70x = 15,061.31 × 5,107.89
  4. Step 4: Simplify right side
    10,034.70x = 76,931,489.20
  5. Step 5: Solve for x
    x = 76,931,489.20/10,034.70
  6. Step 6: Final answer
    x = 7,666.55

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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.