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Finding the Fourth Proportional to 8,514, 12,761.87 and 4,121.78

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Solution

The fourth proportional to 8,514, 12,761.87 and 4,121.78 is: 6,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514 : 12,761.87 = 4,121.78 : x
  2. Step 2: Convert to fraction form
    8,514/12,761.87 = 4,121.78/x
  3. Step 3: Cross multiply
    8,514x = 12,761.87 × 4,121.78
  4. Step 4: Simplify right side
    8,514x = 52,601,536.11
  5. Step 5: Solve for x
    x = 52,601,536.11/8,514
  6. Step 6: Final answer
    x = 6,178.24

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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.