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Finding the Fourth Proportional to 10,324.92, 15,472.26 and 6,417.48

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Solution

The fourth proportional to 10,324.92, 15,472.26 and 6,417.48 is: 9,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.92 : 15,472.26 = 6,417.48 : x
  2. Step 2: Convert to fraction form
    10,324.92/15,472.26 = 6,417.48/x
  3. Step 3: Cross multiply
    10,324.92x = 15,472.26 × 6,417.48
  4. Step 4: Simplify right side
    10,324.92x = 99,292,919.10
  5. Step 5: Solve for x
    x = 99,292,919.10/10,324.92
  6. Step 6: Final answer
    x = 9,616.82

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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.