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Finding the Fourth Proportional to 8,121.42, 12,189.24 and 3,964.50

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Solution

The fourth proportional to 8,121.42, 12,189.24 and 3,964.50 is: 5,950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.42 : 12,189.24 = 3,964.50 : x
  2. Step 2: Convert to fraction form
    8,121.42/12,189.24 = 3,964.50/x
  3. Step 3: Cross multiply
    8,121.42x = 12,189.24 × 3,964.50
  4. Step 4: Simplify right side
    8,121.42x = 48,324,241.98
  5. Step 5: Solve for x
    x = 48,324,241.98/8,121.42
  6. Step 6: Final answer
    x = 5,950.22

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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.