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Finding the Fourth Proportional to 8,651.13, 11,909.21 and 7,766.61

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Solution

The fourth proportional to 8,651.13, 11,909.21 and 7,766.61 is: 10,691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.13 : 11,909.21 = 7,766.61 : x
  2. Step 2: Convert to fraction form
    8,651.13/11,909.21 = 7,766.61/x
  3. Step 3: Cross multiply
    8,651.13x = 11,909.21 × 7,766.61
  4. Step 4: Simplify right side
    8,651.13x = 92,494,150.65
  5. Step 5: Solve for x
    x = 92,494,150.65/8,651.13
  6. Step 6: Final answer
    x = 10,691.57

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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.