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Finding the Fourth Proportional to 27,380.38, 41,065.82 and 7,654.26

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Solution

The fourth proportional to 27,380.38, 41,065.82 and 7,654.26 is: 11,480.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,380.38 : 41,065.82 = 7,654.26 : x
  2. Step 2: Convert to fraction form
    27,380.38/41,065.82 = 7,654.26/x
  3. Step 3: Cross multiply
    27,380.38x = 41,065.82 × 7,654.26
  4. Step 4: Simplify right side
    27,380.38x = 314,328,463.39
  5. Step 5: Solve for x
    x = 314,328,463.39/27,380.38
  6. Step 6: Final answer
    x = 11,480.06

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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.