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Finding the Fourth Proportional to 8,092.33, 12,143.21 and 3,412.05

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Solution

The fourth proportional to 8,092.33, 12,143.21 and 3,412.05 is: 5,120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.33 : 12,143.21 = 3,412.05 : x
  2. Step 2: Convert to fraction form
    8,092.33/12,143.21 = 3,412.05/x
  3. Step 3: Cross multiply
    8,092.33x = 12,143.21 × 3,412.05
  4. Step 4: Simplify right side
    8,092.33x = 41,433,239.68
  5. Step 5: Solve for x
    x = 41,433,239.68/8,092.33
  6. Step 6: Final answer
    x = 5,120.06

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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.