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Finding the Fourth Proportional to 8,169.31, 11,200.20 and 8,021.68

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Solution

The fourth proportional to 8,169.31, 11,200.20 and 8,021.68 is: 10,997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.31 : 11,200.20 = 8,021.68 : x
  2. Step 2: Convert to fraction form
    8,169.31/11,200.20 = 8,021.68/x
  3. Step 3: Cross multiply
    8,169.31x = 11,200.20 × 8,021.68
  4. Step 4: Simplify right side
    8,169.31x = 89,844,420.34
  5. Step 5: Solve for x
    x = 89,844,420.34/8,169.31
  6. Step 6: Final answer
    x = 10,997.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.