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Finding the Fourth Proportional to 8,169.81, 11,200.89 and 8,022.18

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Solution

The fourth proportional to 8,169.81, 11,200.89 and 8,022.18 is: 10,998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.81 : 11,200.89 = 8,022.18 : x
  2. Step 2: Convert to fraction form
    8,169.81/11,200.89 = 8,022.18/x
  3. Step 3: Cross multiply
    8,169.81x = 11,200.89 × 8,022.18
  4. Step 4: Simplify right side
    8,169.81x = 89,855,515.63
  5. Step 5: Solve for x
    x = 89,855,515.63/8,169.81
  6. Step 6: Final answer
    x = 10,998.48

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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.