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Finding the Fourth Proportional to 8,227.97, 12,341.94 and 2,681.30

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Solution

The fourth proportional to 8,227.97, 12,341.94 and 2,681.30 is: 4,021.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.97 : 12,341.94 = 2,681.30 : x
  2. Step 2: Convert to fraction form
    8,227.97/12,341.94 = 2,681.30/x
  3. Step 3: Cross multiply
    8,227.97x = 12,341.94 × 2,681.30
  4. Step 4: Simplify right side
    8,227.97x = 33,092,382.01
  5. Step 5: Solve for x
    x = 33,092,382.01/8,227.97
  6. Step 6: Final answer
    x = 4,021.94

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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.