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Finding the Fourth Proportional to 8,308.40, 12,469.40 and 8,243.60

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Solution

The fourth proportional to 8,308.40, 12,469.40 and 8,243.60 is: 12,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.40 : 12,469.40 = 8,243.60 : x
  2. Step 2: Convert to fraction form
    8,308.40/12,469.40 = 8,243.60/x
  3. Step 3: Cross multiply
    8,308.40x = 12,469.40 × 8,243.60
  4. Step 4: Simplify right side
    8,308.40x = 102,792,745.84
  5. Step 5: Solve for x
    x = 102,792,745.84/8,308.40
  6. Step 6: Final answer
    x = 12,372.15

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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.