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Finding the Fourth Proportional to 8,589.80, 12,884.70 and 7,131.80

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Solution

The fourth proportional to 8,589.80, 12,884.70 and 7,131.80 is: 10,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.80 : 12,884.70 = 7,131.80 : x
  2. Step 2: Convert to fraction form
    8,589.80/12,884.70 = 7,131.80/x
  3. Step 3: Cross multiply
    8,589.80x = 12,884.70 × 7,131.80
  4. Step 4: Simplify right side
    8,589.80x = 91,891,103.46
  5. Step 5: Solve for x
    x = 91,891,103.46/8,589.80
  6. Step 6: Final answer
    x = 10,697.70

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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.