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Finding the Fourth Proportional to 8,229.42, 11,280.41 and 8,118.66

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Solution

The fourth proportional to 8,229.42, 11,280.41 and 8,118.66 is: 11,128.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.42 : 11,280.41 = 8,118.66 : x
  2. Step 2: Convert to fraction form
    8,229.42/11,280.41 = 8,118.66/x
  3. Step 3: Cross multiply
    8,229.42x = 11,280.41 × 8,118.66
  4. Step 4: Simplify right side
    8,229.42x = 91,581,813.45
  5. Step 5: Solve for x
    x = 91,581,813.45/8,229.42
  6. Step 6: Final answer
    x = 11,128.59

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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.