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Finding the Fourth Proportional to 10,469.52, 15,701.84 and 3,898.80

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Solution

The fourth proportional to 10,469.52, 15,701.84 and 3,898.80 is: 5,847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.52 : 15,701.84 = 3,898.80 : x
  2. Step 2: Convert to fraction form
    10,469.52/15,701.84 = 3,898.80/x
  3. Step 3: Cross multiply
    10,469.52x = 15,701.84 × 3,898.80
  4. Step 4: Simplify right side
    10,469.52x = 61,218,333.79
  5. Step 5: Solve for x
    x = 61,218,333.79/10,469.52
  6. Step 6: Final answer
    x = 5,847.29

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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.