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Finding the Fourth Proportional to 10,542.49, 15,791.99 and 6,372

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Solution

The fourth proportional to 10,542.49, 15,791.99 and 6,372 is: 9,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.49 : 15,791.99 = 6,372 : x
  2. Step 2: Convert to fraction form
    10,542.49/15,791.99 = 6,372/x
  3. Step 3: Cross multiply
    10,542.49x = 15,791.99 × 6,372
  4. Step 4: Simplify right side
    10,542.49x = 100,626,528.42
  5. Step 5: Solve for x
    x = 100,626,528.42/10,542.49
  6. Step 6: Final answer
    x = 9,544.86

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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.