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Finding the Fourth Proportional to 8,092.36, 12,141.46 and 2,828.14

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Solution

The fourth proportional to 8,092.36, 12,141.46 and 2,828.14 is: 4,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.36 : 12,141.46 = 2,828.14 : x
  2. Step 2: Convert to fraction form
    8,092.36/12,141.46 = 2,828.14/x
  3. Step 3: Cross multiply
    8,092.36x = 12,141.46 × 2,828.14
  4. Step 4: Simplify right side
    8,092.36x = 34,337,748.68
  5. Step 5: Solve for x
    x = 34,337,748.68/8,092.36
  6. Step 6: Final answer
    x = 4,243.23

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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.