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Finding the Fourth Proportional to 8,122.27, 12,184.54 and 2,857.97

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Solution

The fourth proportional to 8,122.27, 12,184.54 and 2,857.97 is: 4,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.27 : 12,184.54 = 2,857.97 : x
  2. Step 2: Convert to fraction form
    8,122.27/12,184.54 = 2,857.97/x
  3. Step 3: Cross multiply
    8,122.27x = 12,184.54 × 2,857.97
  4. Step 4: Simplify right side
    8,122.27x = 34,823,073.10
  5. Step 5: Solve for x
    x = 34,823,073.10/8,122.27
  6. Step 6: Final answer
    x = 4,287.36

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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.