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Finding the Fourth Proportional to 8,262, 12,388.14 and 3,882.33

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Solution

The fourth proportional to 8,262, 12,388.14 and 3,882.33 is: 5,821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262 : 12,388.14 = 3,882.33 : x
  2. Step 2: Convert to fraction form
    8,262/12,388.14 = 3,882.33/x
  3. Step 3: Cross multiply
    8,262x = 12,388.14 × 3,882.33
  4. Step 4: Simplify right side
    8,262x = 48,094,847.57
  5. Step 5: Solve for x
    x = 48,094,847.57/8,262
  6. Step 6: Final answer
    x = 5,821.21

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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.