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Finding the Fourth Proportional to 8,522.39, 12,782.10 and 2,282.96

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Solution

The fourth proportional to 8,522.39, 12,782.10 and 2,282.96 is: 3,424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.39 : 12,782.10 = 2,282.96 : x
  2. Step 2: Convert to fraction form
    8,522.39/12,782.10 = 2,282.96/x
  3. Step 3: Cross multiply
    8,522.39x = 12,782.10 × 2,282.96
  4. Step 4: Simplify right side
    8,522.39x = 29,181,023.02
  5. Step 5: Solve for x
    x = 29,181,023.02/8,522.39
  6. Step 6: Final answer
    x = 3,424.04

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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.