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Finding the Fourth Proportional to 10,424.40, 15,658.38 and 8,864.16

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Solution

The fourth proportional to 10,424.40, 15,658.38 and 8,864.16 is: 13,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.40 : 15,658.38 = 8,864.16 : x
  2. Step 2: Convert to fraction form
    10,424.40/15,658.38 = 8,864.16/x
  3. Step 3: Cross multiply
    10,424.40x = 15,658.38 × 8,864.16
  4. Step 4: Simplify right side
    10,424.40x = 138,798,385.66
  5. Step 5: Solve for x
    x = 138,798,385.66/10,424.40
  6. Step 6: Final answer
    x = 13,314.76

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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.