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Finding the Fourth Proportional to 8,178.80, 12,243.90 and 5,408.60

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Solution

The fourth proportional to 8,178.80, 12,243.90 and 5,408.60 is: 8,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.80 : 12,243.90 = 5,408.60 : x
  2. Step 2: Convert to fraction form
    8,178.80/12,243.90 = 5,408.60/x
  3. Step 3: Cross multiply
    8,178.80x = 12,243.90 × 5,408.60
  4. Step 4: Simplify right side
    8,178.80x = 66,222,357.54
  5. Step 5: Solve for x
    x = 66,222,357.54/8,178.80
  6. Step 6: Final answer
    x = 8,096.83

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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.