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Finding the Fourth Proportional to 8,136.40, 12,204.66 and 5,327.60

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Solution

The fourth proportional to 8,136.40, 12,204.66 and 5,327.60 is: 7,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.40 : 12,204.66 = 5,327.60 : x
  2. Step 2: Convert to fraction form
    8,136.40/12,204.66 = 5,327.60/x
  3. Step 3: Cross multiply
    8,136.40x = 12,204.66 × 5,327.60
  4. Step 4: Simplify right side
    8,136.40x = 65,021,546.62
  5. Step 5: Solve for x
    x = 65,021,546.62/8,136.40
  6. Step 6: Final answer
    x = 7,991.44

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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.