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Finding the Fourth Proportional to 27,693.96, 41,542.38 and 6,917.64

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Solution

The fourth proportional to 27,693.96, 41,542.38 and 6,917.64 is: 10,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,693.96 : 41,542.38 = 6,917.64 : x
  2. Step 2: Convert to fraction form
    27,693.96/41,542.38 = 6,917.64/x
  3. Step 3: Cross multiply
    27,693.96x = 41,542.38 × 6,917.64
  4. Step 4: Simplify right side
    27,693.96x = 287,375,229.58
  5. Step 5: Solve for x
    x = 287,375,229.58/27,693.96
  6. Step 6: Final answer
    x = 10,376.82

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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.