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Finding the Fourth Proportional to 8,282.96, 12,394.68 and 6,086.24

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Solution

The fourth proportional to 8,282.96, 12,394.68 and 6,086.24 is: 9,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.96 : 12,394.68 = 6,086.24 : x
  2. Step 2: Convert to fraction form
    8,282.96/12,394.68 = 6,086.24/x
  3. Step 3: Cross multiply
    8,282.96x = 12,394.68 × 6,086.24
  4. Step 4: Simplify right side
    8,282.96x = 75,436,997.20
  5. Step 5: Solve for x
    x = 75,436,997.20/8,282.96
  6. Step 6: Final answer
    x = 9,107.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.