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Finding the Fourth Proportional to 8,220.75, 11,344.65 and 5,082.42

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Solution

The fourth proportional to 8,220.75, 11,344.65 and 5,082.42 is: 7,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.75 : 11,344.65 = 5,082.42 : x
  2. Step 2: Convert to fraction form
    8,220.75/11,344.65 = 5,082.42/x
  3. Step 3: Cross multiply
    8,220.75x = 11,344.65 × 5,082.42
  4. Step 4: Simplify right side
    8,220.75x = 57,658,276.05
  5. Step 5: Solve for x
    x = 57,658,276.05/8,220.75
  6. Step 6: Final answer
    x = 7,013.75

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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.