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Finding the Fourth Proportional to 6,722.96, 10,082.90 and 2,563.44

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Solution

The fourth proportional to 6,722.96, 10,082.90 and 2,563.44 is: 3,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.96 : 10,082.90 = 2,563.44 : x
  2. Step 2: Convert to fraction form
    6,722.96/10,082.90 = 2,563.44/x
  3. Step 3: Cross multiply
    6,722.96x = 10,082.90 × 2,563.44
  4. Step 4: Simplify right side
    6,722.96x = 25,846,909.18
  5. Step 5: Solve for x
    x = 25,846,909.18/6,722.96
  6. Step 6: Final answer
    x = 3,844.57

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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.