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Finding the Fourth Proportional to 8,282.25, 12,422.16 and 2,735.78

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Solution

The fourth proportional to 8,282.25, 12,422.16 and 2,735.78 is: 4,103.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.25 : 12,422.16 = 2,735.78 : x
  2. Step 2: Convert to fraction form
    8,282.25/12,422.16 = 2,735.78/x
  3. Step 3: Cross multiply
    8,282.25x = 12,422.16 × 2,735.78
  4. Step 4: Simplify right side
    8,282.25x = 33,984,234.77
  5. Step 5: Solve for x
    x = 33,984,234.77/8,282.25
  6. Step 6: Final answer
    x = 4,103.26

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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.