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Finding the Fourth Proportional to 10,502.38, 15,748.60 and 3,834.17

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Solution

The fourth proportional to 10,502.38, 15,748.60 and 3,834.17 is: 5,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.38 : 15,748.60 = 3,834.17 : x
  2. Step 2: Convert to fraction form
    10,502.38/15,748.60 = 3,834.17/x
  3. Step 3: Cross multiply
    10,502.38x = 15,748.60 × 3,834.17
  4. Step 4: Simplify right side
    10,502.38x = 60,382,809.66
  5. Step 5: Solve for x
    x = 60,382,809.66/10,502.38
  6. Step 6: Final answer
    x = 5,749.44

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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.