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Finding the Fourth Proportional to 8,082.86, 12,121.86 and 5,309.42

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Solution

The fourth proportional to 8,082.86, 12,121.86 and 5,309.42 is: 7,962.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.86 : 12,121.86 = 5,309.42 : x
  2. Step 2: Convert to fraction form
    8,082.86/12,121.86 = 5,309.42/x
  3. Step 3: Cross multiply
    8,082.86x = 12,121.86 × 5,309.42
  4. Step 4: Simplify right side
    8,082.86x = 64,360,045.92
  5. Step 5: Solve for x
    x = 64,360,045.92/8,082.86
  6. Step 6: Final answer
    x = 7,962.53

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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.