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Finding the Fourth Proportional to 8,422.62, 12,634.11 and 2,182.71

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Solution

The fourth proportional to 8,422.62, 12,634.11 and 2,182.71 is: 3,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.62 : 12,634.11 = 2,182.71 : x
  2. Step 2: Convert to fraction form
    8,422.62/12,634.11 = 2,182.71/x
  3. Step 3: Cross multiply
    8,422.62x = 12,634.11 × 2,182.71
  4. Step 4: Simplify right side
    8,422.62x = 27,576,598.24
  5. Step 5: Solve for x
    x = 27,576,598.24/8,422.62
  6. Step 6: Final answer
    x = 3,274.11

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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.