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Finding the Fourth Proportional to 10,469.53, 15,708.48 and 3,901.24

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Solution

The fourth proportional to 10,469.53, 15,708.48 and 3,901.24 is: 5,853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.53 : 15,708.48 = 3,901.24 : x
  2. Step 2: Convert to fraction form
    10,469.53/15,708.48 = 3,901.24/x
  3. Step 3: Cross multiply
    10,469.53x = 15,708.48 × 3,901.24
  4. Step 4: Simplify right side
    10,469.53x = 61,282,550.52
  5. Step 5: Solve for x
    x = 61,282,550.52/10,469.53
  6. Step 6: Final answer
    x = 5,853.42

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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.