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Finding the Fourth Proportional to 8,150.85, 12,222.09 and 3,984.57

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Solution

The fourth proportional to 8,150.85, 12,222.09 and 3,984.57 is: 5,974.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,150.85 : 12,222.09 = 3,984.57 : x
  2. Step 2: Convert to fraction form
    8,150.85/12,222.09 = 3,984.57/x
  3. Step 3: Cross multiply
    8,150.85x = 12,222.09 × 3,984.57
  4. Step 4: Simplify right side
    8,150.85x = 48,699,773.15
  5. Step 5: Solve for x
    x = 48,699,773.15/8,150.85
  6. Step 6: Final answer
    x = 5,974.81

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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.