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Finding the Fourth Proportional to 6,876.34, 10,314.51 and 2,493.79

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Solution

The fourth proportional to 6,876.34, 10,314.51 and 2,493.79 is: 3,740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.34 : 10,314.51 = 2,493.79 : x
  2. Step 2: Convert to fraction form
    6,876.34/10,314.51 = 2,493.79/x
  3. Step 3: Cross multiply
    6,876.34x = 10,314.51 × 2,493.79
  4. Step 4: Simplify right side
    6,876.34x = 25,722,221.89
  5. Step 5: Solve for x
    x = 25,722,221.89/6,876.34
  6. Step 6: Final answer
    x = 3,740.69

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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.