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Finding the Fourth Proportional to 6,822.69, 10,229.50 and 2,663.09

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Solution

The fourth proportional to 6,822.69, 10,229.50 and 2,663.09 is: 3,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.69 : 10,229.50 = 2,663.09 : x
  2. Step 2: Convert to fraction form
    6,822.69/10,229.50 = 2,663.09/x
  3. Step 3: Cross multiply
    6,822.69x = 10,229.50 × 2,663.09
  4. Step 4: Simplify right side
    6,822.69x = 27,242,021.35
  5. Step 5: Solve for x
    x = 27,242,021.35/6,822.69
  6. Step 6: Final answer
    x = 3,992.86

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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.