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Finding the Fourth Proportional to 8,589.14, 12,883.71 and 4,691.42

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Solution

The fourth proportional to 8,589.14, 12,883.71 and 4,691.42 is: 7,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.14 : 12,883.71 = 4,691.42 : x
  2. Step 2: Convert to fraction form
    8,589.14/12,883.71 = 4,691.42/x
  3. Step 3: Cross multiply
    8,589.14x = 12,883.71 × 4,691.42
  4. Step 4: Simplify right side
    8,589.14x = 60,442,894.77
  5. Step 5: Solve for x
    x = 60,442,894.77/8,589.14
  6. Step 6: Final answer
    x = 7,037.13

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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.