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Finding the Fourth Proportional to 6,672.96, 10,012.32 and 2,778.24

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Solution

The fourth proportional to 6,672.96, 10,012.32 and 2,778.24 is: 4,168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672.96 : 10,012.32 = 2,778.24 : x
  2. Step 2: Convert to fraction form
    6,672.96/10,012.32 = 2,778.24/x
  3. Step 3: Cross multiply
    6,672.96x = 10,012.32 × 2,778.24
  4. Step 4: Simplify right side
    6,672.96x = 27,816,627.92
  5. Step 5: Solve for x
    x = 27,816,627.92/6,672.96
  6. Step 6: Final answer
    x = 4,168.56

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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.