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Finding the Fourth Proportional to 27,524.61, 41,286.92 and 7,800.60

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Solution

The fourth proportional to 27,524.61, 41,286.92 and 7,800.60 is: 11,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524.61 : 41,286.92 = 7,800.60 : x
  2. Step 2: Convert to fraction form
    27,524.61/41,286.92 = 7,800.60/x
  3. Step 3: Cross multiply
    27,524.61x = 41,286.92 × 7,800.60
  4. Step 4: Simplify right side
    27,524.61x = 322,062,863.97
  5. Step 5: Solve for x
    x = 322,062,863.97/27,524.61
  6. Step 6: Final answer
    x = 11,700.91

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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.