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Finding the Fourth Proportional to 27,524.56, 41,286.72 and 6,748

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Solution

The fourth proportional to 27,524.56, 41,286.72 and 6,748 is: 10,121.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524.56 : 41,286.72 = 6,748 : x
  2. Step 2: Convert to fraction form
    27,524.56/41,286.72 = 6,748/x
  3. Step 3: Cross multiply
    27,524.56x = 41,286.72 × 6,748
  4. Step 4: Simplify right side
    27,524.56x = 278,602,786.56
  5. Step 5: Solve for x
    x = 278,602,786.56/27,524.56
  6. Step 6: Final answer
    x = 10,121.97

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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.