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Finding the Fourth Proportional to 8,342.80, 12,517.40 and 8,211.60

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Solution

The fourth proportional to 8,342.80, 12,517.40 and 8,211.60 is: 12,320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.80 : 12,517.40 = 8,211.60 : x
  2. Step 2: Convert to fraction form
    8,342.80/12,517.40 = 8,211.60/x
  3. Step 3: Cross multiply
    8,342.80x = 12,517.40 × 8,211.60
  4. Step 4: Simplify right side
    8,342.80x = 102,787,881.84
  5. Step 5: Solve for x
    x = 102,787,881.84/8,342.80
  6. Step 6: Final answer
    x = 12,320.55

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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.