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Finding the Fourth Proportional to 8,262.73, 12,382.05 and 3,821.76

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Solution

The fourth proportional to 8,262.73, 12,382.05 and 3,821.76 is: 5,727.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.73 : 12,382.05 = 3,821.76 : x
  2. Step 2: Convert to fraction form
    8,262.73/12,382.05 = 3,821.76/x
  3. Step 3: Cross multiply
    8,262.73x = 12,382.05 × 3,821.76
  4. Step 4: Simplify right side
    8,262.73x = 47,321,223.41
  5. Step 5: Solve for x
    x = 47,321,223.41/8,262.73
  6. Step 6: Final answer
    x = 5,727.07

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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.