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Finding the Fourth Proportional to 27,838.52, 41,757.83 and 6,778.56

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Solution

The fourth proportional to 27,838.52, 41,757.83 and 6,778.56 is: 10,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.52 : 41,757.83 = 6,778.56 : x
  2. Step 2: Convert to fraction form
    27,838.52/41,757.83 = 6,778.56/x
  3. Step 3: Cross multiply
    27,838.52x = 41,757.83 × 6,778.56
  4. Step 4: Simplify right side
    27,838.52x = 283,057,956.12
  5. Step 5: Solve for x
    x = 283,057,956.12/27,838.52
  6. Step 6: Final answer
    x = 10,167.85

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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.