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Finding the Fourth Proportional to 8,422.72, 12,634.12 and 2,182.29

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Solution

The fourth proportional to 8,422.72, 12,634.12 and 2,182.29 is: 3,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.72 : 12,634.12 = 2,182.29 : x
  2. Step 2: Convert to fraction form
    8,422.72/12,634.12 = 2,182.29/x
  3. Step 3: Cross multiply
    8,422.72x = 12,634.12 × 2,182.29
  4. Step 4: Simplify right side
    8,422.72x = 27,571,313.73
  5. Step 5: Solve for x
    x = 27,571,313.73/8,422.72
  6. Step 6: Final answer
    x = 3,273.45

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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.