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Finding the Fourth Proportional to 8,092.80, 12,126.24 and 6,796.80

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Solution

The fourth proportional to 8,092.80, 12,126.24 and 6,796.80 is: 10,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.80 : 12,126.24 = 6,796.80 : x
  2. Step 2: Convert to fraction form
    8,092.80/12,126.24 = 6,796.80/x
  3. Step 3: Cross multiply
    8,092.80x = 12,126.24 × 6,796.80
  4. Step 4: Simplify right side
    8,092.80x = 82,419,628.03
  5. Step 5: Solve for x
    x = 82,419,628.03/8,092.80
  6. Step 6: Final answer
    x = 10,184.32

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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.