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Finding the Fourth Proportional to 8,801.92, 13,182.04 and 7,641.36

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Solution

The fourth proportional to 8,801.92, 13,182.04 and 7,641.36 is: 11,443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,801.92 : 13,182.04 = 7,641.36 : x
  2. Step 2: Convert to fraction form
    8,801.92/13,182.04 = 7,641.36/x
  3. Step 3: Cross multiply
    8,801.92x = 13,182.04 × 7,641.36
  4. Step 4: Simplify right side
    8,801.92x = 100,728,713.17
  5. Step 5: Solve for x
    x = 100,728,713.17/8,801.92
  6. Step 6: Final answer
    x = 11,443.95

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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.