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Finding the Fourth Proportional to 6,876.48, 10,311.52 and 2,493.76

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Solution

The fourth proportional to 6,876.48, 10,311.52 and 2,493.76 is: 3,739.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.48 : 10,311.52 = 2,493.76 : x
  2. Step 2: Convert to fraction form
    6,876.48/10,311.52 = 2,493.76/x
  3. Step 3: Cross multiply
    6,876.48x = 10,311.52 × 2,493.76
  4. Step 4: Simplify right side
    6,876.48x = 25,714,456.12
  5. Step 5: Solve for x
    x = 25,714,456.12/6,876.48
  6. Step 6: Final answer
    x = 3,739.48

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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.