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Finding the Fourth Proportional to 8,179.38, 11,292.09 and 5,630.85

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Solution

The fourth proportional to 8,179.38, 11,292.09 and 5,630.85 is: 7,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.38 : 11,292.09 = 5,630.85 : x
  2. Step 2: Convert to fraction form
    8,179.38/11,292.09 = 5,630.85/x
  3. Step 3: Cross multiply
    8,179.38x = 11,292.09 × 5,630.85
  4. Step 4: Simplify right side
    8,179.38x = 63,584,064.98
  5. Step 5: Solve for x
    x = 63,584,064.98/8,179.38
  6. Step 6: Final answer
    x = 7,773.70

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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.