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Finding the Fourth Proportional to 27,504.88, 41,258.91 and 7,781.78

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Solution

The fourth proportional to 27,504.88, 41,258.91 and 7,781.78 is: 11,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,504.88 : 41,258.91 = 7,781.78 : x
  2. Step 2: Convert to fraction form
    27,504.88/41,258.91 = 7,781.78/x
  3. Step 3: Cross multiply
    27,504.88x = 41,258.91 × 7,781.78
  4. Step 4: Simplify right side
    27,504.88x = 321,067,760.66
  5. Step 5: Solve for x
    x = 321,067,760.66/27,504.88
  6. Step 6: Final answer
    x = 11,673.12

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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.