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Finding the Fourth Proportional to 11,542.72, 15,934.28 and 6,762

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Solution

The fourth proportional to 11,542.72, 15,934.28 and 6,762 is: 9,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.72 : 15,934.28 = 6,762 : x
  2. Step 2: Convert to fraction form
    11,542.72/15,934.28 = 6,762/x
  3. Step 3: Cross multiply
    11,542.72x = 15,934.28 × 6,762
  4. Step 4: Simplify right side
    11,542.72x = 107,747,601.36
  5. Step 5: Solve for x
    x = 107,747,601.36/11,542.72
  6. Step 6: Final answer
    x = 9,334.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.