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Finding the Fourth Proportional to 8,180.56, 12,270.89 and 3,496.62

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Solution

The fourth proportional to 8,180.56, 12,270.89 and 3,496.62 is: 5,244.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.56 : 12,270.89 = 3,496.62 : x
  2. Step 2: Convert to fraction form
    8,180.56/12,270.89 = 3,496.62/x
  3. Step 3: Cross multiply
    8,180.56x = 12,270.89 × 3,496.62
  4. Step 4: Simplify right side
    8,180.56x = 42,906,625.13
  5. Step 5: Solve for x
    x = 42,906,625.13/8,180.56
  6. Step 6: Final answer
    x = 5,244.95

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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.