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Finding the Fourth Proportional to 8,398.26, 11,587.20 and 5,415.78

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Solution

The fourth proportional to 8,398.26, 11,587.20 and 5,415.78 is: 7,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.26 : 11,587.20 = 5,415.78 : x
  2. Step 2: Convert to fraction form
    8,398.26/11,587.20 = 5,415.78/x
  3. Step 3: Cross multiply
    8,398.26x = 11,587.20 × 5,415.78
  4. Step 4: Simplify right side
    8,398.26x = 62,753,726.02
  5. Step 5: Solve for x
    x = 62,753,726.02/8,398.26
  6. Step 6: Final answer
    x = 7,472.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.