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Finding the Fourth Proportional to 8,092.27, 12,131.11 and 2,896.93

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Solution

The fourth proportional to 8,092.27, 12,131.11 and 2,896.93 is: 4,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.27 : 12,131.11 = 2,896.93 : x
  2. Step 2: Convert to fraction form
    8,092.27/12,131.11 = 2,896.93/x
  3. Step 3: Cross multiply
    8,092.27x = 12,131.11 × 2,896.93
  4. Step 4: Simplify right side
    8,092.27x = 35,142,976.49
  5. Step 5: Solve for x
    x = 35,142,976.49/8,092.27
  6. Step 6: Final answer
    x = 4,342.78

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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.