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Finding the Fourth Proportional to 8,644.38, 11,912.67 and 5,986.86

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Solution

The fourth proportional to 8,644.38, 11,912.67 and 5,986.86 is: 8,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.38 : 11,912.67 = 5,986.86 : x
  2. Step 2: Convert to fraction form
    8,644.38/11,912.67 = 5,986.86/x
  3. Step 3: Cross multiply
    8,644.38x = 11,912.67 × 5,986.86
  4. Step 4: Simplify right side
    8,644.38x = 71,319,487.52
  5. Step 5: Solve for x
    x = 71,319,487.52/8,644.38
  6. Step 6: Final answer
    x = 8,250.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.