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Finding the Fourth Proportional to 8,092.83, 12,142.17 and 2,828.62

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Solution

The fourth proportional to 8,092.83, 12,142.17 and 2,828.62 is: 4,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.83 : 12,142.17 = 2,828.62 : x
  2. Step 2: Convert to fraction form
    8,092.83/12,142.17 = 2,828.62/x
  3. Step 3: Cross multiply
    8,092.83x = 12,142.17 × 2,828.62
  4. Step 4: Simplify right side
    8,092.83x = 34,345,584.91
  5. Step 5: Solve for x
    x = 34,345,584.91/8,092.83
  6. Step 6: Final answer
    x = 4,243.95

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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.