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Finding the Fourth Proportional to 8,591.97, 11,862.63 and 6,598.96

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Solution

The fourth proportional to 8,591.97, 11,862.63 and 6,598.96 is: 9,110.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591.97 : 11,862.63 = 6,598.96 : x
  2. Step 2: Convert to fraction form
    8,591.97/11,862.63 = 6,598.96/x
  3. Step 3: Cross multiply
    8,591.97x = 11,862.63 × 6,598.96
  4. Step 4: Simplify right side
    8,591.97x = 78,281,020.86
  5. Step 5: Solve for x
    x = 78,281,020.86/8,591.97
  6. Step 6: Final answer
    x = 9,110.95

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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.