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Finding the Fourth Proportional to 8,266.82, 12,401.46 and 3,002.20

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Solution

The fourth proportional to 8,266.82, 12,401.46 and 3,002.20 is: 4,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.82 : 12,401.46 = 3,002.20 : x
  2. Step 2: Convert to fraction form
    8,266.82/12,401.46 = 3,002.20/x
  3. Step 3: Cross multiply
    8,266.82x = 12,401.46 × 3,002.20
  4. Step 4: Simplify right side
    8,266.82x = 37,231,663.21
  5. Step 5: Solve for x
    x = 37,231,663.21/8,266.82
  6. Step 6: Final answer
    x = 4,503.75

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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.