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Finding the Fourth Proportional to 10,757.74, 16,129.72 and 4,178.52

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Solution

The fourth proportional to 10,757.74, 16,129.72 and 4,178.52 is: 6,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.74 : 16,129.72 = 4,178.52 : x
  2. Step 2: Convert to fraction form
    10,757.74/16,129.72 = 4,178.52/x
  3. Step 3: Cross multiply
    10,757.74x = 16,129.72 × 4,178.52
  4. Step 4: Simplify right side
    10,757.74x = 67,398,357.61
  5. Step 5: Solve for x
    x = 67,398,357.61/10,757.74
  6. Step 6: Final answer
    x = 6,265.10

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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.