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Finding the Fourth Proportional to 8,230.42, 11,281.78 and 8,119.66

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Solution

The fourth proportional to 8,230.42, 11,281.78 and 8,119.66 is: 11,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.42 : 11,281.78 = 8,119.66 : x
  2. Step 2: Convert to fraction form
    8,230.42/11,281.78 = 8,119.66/x
  3. Step 3: Cross multiply
    8,230.42x = 11,281.78 × 8,119.66
  4. Step 4: Simplify right side
    8,230.42x = 91,604,217.79
  5. Step 5: Solve for x
    x = 91,604,217.79/8,230.42
  6. Step 6: Final answer
    x = 11,129.96

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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.