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Finding the Fourth Proportional to 8,267.19, 12,401.46 and 3,882.26

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Solution

The fourth proportional to 8,267.19, 12,401.46 and 3,882.26 is: 5,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.19 : 12,401.46 = 3,882.26 : x
  2. Step 2: Convert to fraction form
    8,267.19/12,401.46 = 3,882.26/x
  3. Step 3: Cross multiply
    8,267.19x = 12,401.46 × 3,882.26
  4. Step 4: Simplify right side
    8,267.19x = 48,145,630.09
  5. Step 5: Solve for x
    x = 48,145,630.09/8,267.19
  6. Step 6: Final answer
    x = 5,823.70

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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.