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Finding the Fourth Proportional to 8,155.36, 12,232.22 and 2,232.78

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Solution

The fourth proportional to 8,155.36, 12,232.22 and 2,232.78 is: 3,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.36 : 12,232.22 = 2,232.78 : x
  2. Step 2: Convert to fraction form
    8,155.36/12,232.22 = 2,232.78/x
  3. Step 3: Cross multiply
    8,155.36x = 12,232.22 × 2,232.78
  4. Step 4: Simplify right side
    8,155.36x = 27,311,799.14
  5. Step 5: Solve for x
    x = 27,311,799.14/8,155.36
  6. Step 6: Final answer
    x = 3,348.94

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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.