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Finding the Fourth Proportional to 27,711.97, 41,574.11 and 7,988.99

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Solution

The fourth proportional to 27,711.97, 41,574.11 and 7,988.99 is: 11,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,711.97 : 41,574.11 = 7,988.99 : x
  2. Step 2: Convert to fraction form
    27,711.97/41,574.11 = 7,988.99/x
  3. Step 3: Cross multiply
    27,711.97x = 41,574.11 × 7,988.99
  4. Step 4: Simplify right side
    27,711.97x = 332,135,057.14
  5. Step 5: Solve for x
    x = 332,135,057.14/27,711.97
  6. Step 6: Final answer
    x = 11,985.26

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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.