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Finding the Fourth Proportional to 8,179.92, 12,270.21 and 2,257.29

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Solution

The fourth proportional to 8,179.92, 12,270.21 and 2,257.29 is: 3,386.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.92 : 12,270.21 = 2,257.29 : x
  2. Step 2: Convert to fraction form
    8,179.92/12,270.21 = 2,257.29/x
  3. Step 3: Cross multiply
    8,179.92x = 12,270.21 × 2,257.29
  4. Step 4: Simplify right side
    8,179.92x = 27,697,422.33
  5. Step 5: Solve for x
    x = 27,697,422.33/8,179.92
  6. Step 6: Final answer
    x = 3,386.03

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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.