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Finding the Fourth Proportional to 27,807.82, 41,711.37 and 6,748.03

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Solution

The fourth proportional to 27,807.82, 41,711.37 and 6,748.03 is: 10,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.82 : 41,711.37 = 6,748.03 : x
  2. Step 2: Convert to fraction form
    27,807.82/41,711.37 = 6,748.03/x
  3. Step 3: Cross multiply
    27,807.82x = 41,711.37 × 6,748.03
  4. Step 4: Simplify right side
    27,807.82x = 281,469,659.87
  5. Step 5: Solve for x
    x = 281,469,659.87/27,807.82
  6. Step 6: Final answer
    x = 10,121.96

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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.