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Finding the Fourth Proportional to 8,562.70, 12,845.87 and 3,634.66

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Solution

The fourth proportional to 8,562.70, 12,845.87 and 3,634.66 is: 5,452.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.70 : 12,845.87 = 3,634.66 : x
  2. Step 2: Convert to fraction form
    8,562.70/12,845.87 = 3,634.66/x
  3. Step 3: Cross multiply
    8,562.70x = 12,845.87 × 3,634.66
  4. Step 4: Simplify right side
    8,562.70x = 46,690,369.85
  5. Step 5: Solve for x
    x = 46,690,369.85/8,562.70
  6. Step 6: Final answer
    x = 5,452.76

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Why These Related Problems?

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