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Finding the Fourth Proportional to 8,213.80, 12,296.40 and 5,443.60

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Solution

The fourth proportional to 8,213.80, 12,296.40 and 5,443.60 is: 8,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.80 : 12,296.40 = 5,443.60 : x
  2. Step 2: Convert to fraction form
    8,213.80/12,296.40 = 5,443.60/x
  3. Step 3: Cross multiply
    8,213.80x = 12,296.40 × 5,443.60
  4. Step 4: Simplify right side
    8,213.80x = 66,936,683.04
  5. Step 5: Solve for x
    x = 66,936,683.04/8,213.80
  6. Step 6: Final answer
    x = 8,149.30

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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.