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Finding the Fourth Proportional to 10,476.57, 15,704.96 and 3,898.29

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Solution

The fourth proportional to 10,476.57, 15,704.96 and 3,898.29 is: 5,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.57 : 15,704.96 = 3,898.29 : x
  2. Step 2: Convert to fraction form
    10,476.57/15,704.96 = 3,898.29/x
  3. Step 3: Cross multiply
    10,476.57x = 15,704.96 × 3,898.29
  4. Step 4: Simplify right side
    10,476.57x = 61,222,469.03
  5. Step 5: Solve for x
    x = 61,222,469.03/10,476.57
  6. Step 6: Final answer
    x = 5,843.75

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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.