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Finding the Fourth Proportional to 8,635.90, 11,911.17 and 6,397.87

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Solution

The fourth proportional to 8,635.90, 11,911.17 and 6,397.87 is: 8,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,635.90 : 11,911.17 = 6,397.87 : x
  2. Step 2: Convert to fraction form
    8,635.90/11,911.17 = 6,397.87/x
  3. Step 3: Cross multiply
    8,635.90x = 11,911.17 × 6,397.87
  4. Step 4: Simplify right side
    8,635.90x = 76,206,117.21
  5. Step 5: Solve for x
    x = 76,206,117.21/8,635.90
  6. Step 6: Final answer
    x = 8,824.34

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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.