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Finding the Fourth Proportional to 27,011.61, 40,517.42 and 7,290.14

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Solution

The fourth proportional to 27,011.61, 40,517.42 and 7,290.14 is: 10,935.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,011.61 : 40,517.42 = 7,290.14 : x
  2. Step 2: Convert to fraction form
    27,011.61/40,517.42 = 7,290.14/x
  3. Step 3: Cross multiply
    27,011.61x = 40,517.42 × 7,290.14
  4. Step 4: Simplify right side
    27,011.61x = 295,377,562.95
  5. Step 5: Solve for x
    x = 295,377,562.95/27,011.61
  6. Step 6: Final answer
    x = 10,935.21

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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.