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Finding the Fourth Proportional to 8,221.08, 11,348.84 and 5,241

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Solution

The fourth proportional to 8,221.08, 11,348.84 and 5,241 is: 7,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.08 : 11,348.84 = 5,241 : x
  2. Step 2: Convert to fraction form
    8,221.08/11,348.84 = 5,241/x
  3. Step 3: Cross multiply
    8,221.08x = 11,348.84 × 5,241
  4. Step 4: Simplify right side
    8,221.08x = 59,479,270.44
  5. Step 5: Solve for x
    x = 59,479,270.44/8,221.08
  6. Step 6: Final answer
    x = 7,234.97

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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.