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Finding the Fourth Proportional to 8,327.86, 12,399.34 and 8,211.62

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Solution

The fourth proportional to 8,327.86, 12,399.34 and 8,211.62 is: 12,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.86 : 12,399.34 = 8,211.62 : x
  2. Step 2: Convert to fraction form
    8,327.86/12,399.34 = 8,211.62/x
  3. Step 3: Cross multiply
    8,327.86x = 12,399.34 × 8,211.62
  4. Step 4: Simplify right side
    8,327.86x = 101,818,668.33
  5. Step 5: Solve for x
    x = 101,818,668.33/8,327.86
  6. Step 6: Final answer
    x = 12,226.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.