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Finding the Fourth Proportional to 8,092.14, 12,141.99 and 4,194.42

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Solution

The fourth proportional to 8,092.14, 12,141.99 and 4,194.42 is: 6,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.14 : 12,141.99 = 4,194.42 : x
  2. Step 2: Convert to fraction form
    8,092.14/12,141.99 = 4,194.42/x
  3. Step 3: Cross multiply
    8,092.14x = 12,141.99 × 4,194.42
  4. Step 4: Simplify right side
    8,092.14x = 50,928,605.70
  5. Step 5: Solve for x
    x = 50,928,605.70/8,092.14
  6. Step 6: Final answer
    x = 6,293.59

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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.