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Finding the Fourth Proportional to 8,282.76, 12,424.11 and 3,355.85

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Solution

The fourth proportional to 8,282.76, 12,424.11 and 3,355.85 is: 5,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.76 : 12,424.11 = 3,355.85 : x
  2. Step 2: Convert to fraction form
    8,282.76/12,424.11 = 3,355.85/x
  3. Step 3: Cross multiply
    8,282.76x = 12,424.11 × 3,355.85
  4. Step 4: Simplify right side
    8,282.76x = 41,693,468.02
  5. Step 5: Solve for x
    x = 41,693,468.02/8,282.76
  6. Step 6: Final answer
    x = 5,033.77

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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.