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Finding the Fourth Proportional to 7,963.92, 11,932.92 and 5,762.34

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Solution

The fourth proportional to 7,963.92, 11,932.92 and 5,762.34 is: 8,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.92 : 11,932.92 = 5,762.34 : x
  2. Step 2: Convert to fraction form
    7,963.92/11,932.92 = 5,762.34/x
  3. Step 3: Cross multiply
    7,963.92x = 11,932.92 × 5,762.34
  4. Step 4: Simplify right side
    7,963.92x = 68,761,542.23
  5. Step 5: Solve for x
    x = 68,761,542.23/7,963.92
  6. Step 6: Final answer
    x = 8,634.13

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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.