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Finding the Fourth Proportional to 8,398.62, 11,587.69 and 5,416.17

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Solution

The fourth proportional to 8,398.62, 11,587.69 and 5,416.17 is: 7,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.62 : 11,587.69 = 5,416.17 : x
  2. Step 2: Convert to fraction form
    8,398.62/11,587.69 = 5,416.17/x
  3. Step 3: Cross multiply
    8,398.62x = 11,587.69 × 5,416.17
  4. Step 4: Simplify right side
    8,398.62x = 62,760,862.26
  5. Step 5: Solve for x
    x = 62,760,862.26/8,398.62
  6. Step 6: Final answer
    x = 7,472.76

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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.