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Finding the Fourth Proportional to 6,722.56, 10,082.22 and 2,105.56

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Solution

The fourth proportional to 6,722.56, 10,082.22 and 2,105.56 is: 3,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.56 : 10,082.22 = 2,105.56 : x
  2. Step 2: Convert to fraction form
    6,722.56/10,082.22 = 2,105.56/x
  3. Step 3: Cross multiply
    6,722.56x = 10,082.22 × 2,105.56
  4. Step 4: Simplify right side
    6,722.56x = 21,228,719.14
  5. Step 5: Solve for x
    x = 21,228,719.14/6,722.56
  6. Step 6: Final answer
    x = 3,157.83

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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.