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Finding the Fourth Proportional to 8,222.45, 12,331.17 and 6,906.60

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Solution

The fourth proportional to 8,222.45, 12,331.17 and 6,906.60 is: 10,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.45 : 12,331.17 = 6,906.60 : x
  2. Step 2: Convert to fraction form
    8,222.45/12,331.17 = 6,906.60/x
  3. Step 3: Cross multiply
    8,222.45x = 12,331.17 × 6,906.60
  4. Step 4: Simplify right side
    8,222.45x = 85,166,458.72
  5. Step 5: Solve for x
    x = 85,166,458.72/8,222.45
  6. Step 6: Final answer
    x = 10,357.80

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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.