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Finding the Fourth Proportional to 27,187.97, 40,781.43 and 7,465.79

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Solution

The fourth proportional to 27,187.97, 40,781.43 and 7,465.79 is: 11,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,187.97 : 40,781.43 = 7,465.79 : x
  2. Step 2: Convert to fraction form
    27,187.97/40,781.43 = 7,465.79/x
  3. Step 3: Cross multiply
    27,187.97x = 40,781.43 × 7,465.79
  4. Step 4: Simplify right side
    27,187.97x = 304,465,388.37
  5. Step 5: Solve for x
    x = 304,465,388.37/27,187.97
  6. Step 6: Final answer
    x = 11,198.54

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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.