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Finding the Fourth Proportional to 8,680.69, 13,000.27 and 8,244.73

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Solution

The fourth proportional to 8,680.69, 13,000.27 and 8,244.73 is: 12,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,680.69 : 13,000.27 = 8,244.73 : x
  2. Step 2: Convert to fraction form
    8,680.69/13,000.27 = 8,244.73/x
  3. Step 3: Cross multiply
    8,680.69x = 13,000.27 × 8,244.73
  4. Step 4: Simplify right side
    8,680.69x = 107,183,716.08
  5. Step 5: Solve for x
    x = 107,183,716.08/8,680.69
  6. Step 6: Final answer
    x = 12,347.37

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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.