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Finding the Fourth Proportional to 10,711.88, 16,069.99 and 3,791.24

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Solution

The fourth proportional to 10,711.88, 16,069.99 and 3,791.24 is: 5,687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.88 : 16,069.99 = 3,791.24 : x
  2. Step 2: Convert to fraction form
    10,711.88/16,069.99 = 3,791.24/x
  3. Step 3: Cross multiply
    10,711.88x = 16,069.99 × 3,791.24
  4. Step 4: Simplify right side
    10,711.88x = 60,925,188.89
  5. Step 5: Solve for x
    x = 60,925,188.89/10,711.88
  6. Step 6: Final answer
    x = 5,687.63

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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.