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Finding the Fourth Proportional to 8,589.66, 12,884.65 and 5,646.85

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Solution

The fourth proportional to 8,589.66, 12,884.65 and 5,646.85 is: 8,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.66 : 12,884.65 = 5,646.85 : x
  2. Step 2: Convert to fraction form
    8,589.66/12,884.65 = 5,646.85/x
  3. Step 3: Cross multiply
    8,589.66x = 12,884.65 × 5,646.85
  4. Step 4: Simplify right side
    8,589.66x = 72,757,685.85
  5. Step 5: Solve for x
    x = 72,757,685.85/8,589.66
  6. Step 6: Final answer
    x = 8,470.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.