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Finding the Fourth Proportional to 7,142.87, 10,716.87 and 3,193.79

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Solution

The fourth proportional to 7,142.87, 10,716.87 and 3,193.79 is: 4,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.87 : 10,716.87 = 3,193.79 : x
  2. Step 2: Convert to fraction form
    7,142.87/10,716.87 = 3,193.79/x
  3. Step 3: Cross multiply
    7,142.87x = 10,716.87 × 3,193.79
  4. Step 4: Simplify right side
    7,142.87x = 34,227,432.24
  5. Step 5: Solve for x
    x = 34,227,432.24/7,142.87
  6. Step 6: Final answer
    x = 4,791.83

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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.