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Finding the Fourth Proportional to 8,422.52, 12,633.72 and 2,182.55

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Solution

The fourth proportional to 8,422.52, 12,633.72 and 2,182.55 is: 3,273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.52 : 12,633.72 = 2,182.55 : x
  2. Step 2: Convert to fraction form
    8,422.52/12,633.72 = 2,182.55/x
  3. Step 3: Cross multiply
    8,422.52x = 12,633.72 × 2,182.55
  4. Step 4: Simplify right side
    8,422.52x = 27,573,725.59
  5. Step 5: Solve for x
    x = 27,573,725.59/8,422.52
  6. Step 6: Final answer
    x = 3,273.81

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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.