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Finding the Fourth Proportional to 8,211.92, 12,325.66 and 5,082.45

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Solution

The fourth proportional to 8,211.92, 12,325.66 and 5,082.45 is: 7,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.92 : 12,325.66 = 5,082.45 : x
  2. Step 2: Convert to fraction form
    8,211.92/12,325.66 = 5,082.45/x
  3. Step 3: Cross multiply
    8,211.92x = 12,325.66 × 5,082.45
  4. Step 4: Simplify right side
    8,211.92x = 62,644,537.96
  5. Step 5: Solve for x
    x = 62,644,537.96/8,211.92
  6. Step 6: Final answer
    x = 7,628.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.