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Finding the Fourth Proportional to 8,245.98, 12,367.67 and 2,980.17

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Solution

The fourth proportional to 8,245.98, 12,367.67 and 2,980.17 is: 4,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.98 : 12,367.67 = 2,980.17 : x
  2. Step 2: Convert to fraction form
    8,245.98/12,367.67 = 2,980.17/x
  3. Step 3: Cross multiply
    8,245.98x = 12,367.67 × 2,980.17
  4. Step 4: Simplify right side
    8,245.98x = 36,857,744.20
  5. Step 5: Solve for x
    x = 36,857,744.20/8,245.98
  6. Step 6: Final answer
    x = 4,469.78

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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.