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Finding the Fourth Proportional to 6,781.50, 10,171.05 and 3,082.86

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Solution

The fourth proportional to 6,781.50, 10,171.05 and 3,082.86 is: 4,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.50 : 10,171.05 = 3,082.86 : x
  2. Step 2: Convert to fraction form
    6,781.50/10,171.05 = 3,082.86/x
  3. Step 3: Cross multiply
    6,781.50x = 10,171.05 × 3,082.86
  4. Step 4: Simplify right side
    6,781.50x = 31,355,923.20
  5. Step 5: Solve for x
    x = 31,355,923.20/6,781.50
  6. Step 6: Final answer
    x = 4,623.74

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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.