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Finding the Fourth Proportional to 11,161.80, 15,396.48 and 8,022.24

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Solution

The fourth proportional to 11,161.80, 15,396.48 and 8,022.24 is: 11,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.80 : 15,396.48 = 8,022.24 : x
  2. Step 2: Convert to fraction form
    11,161.80/15,396.48 = 8,022.24/x
  3. Step 3: Cross multiply
    11,161.80x = 15,396.48 × 8,022.24
  4. Step 4: Simplify right side
    11,161.80x = 123,514,257.72
  5. Step 5: Solve for x
    x = 123,514,257.72/11,161.80
  6. Step 6: Final answer
    x = 11,065.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.