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Finding the Fourth Proportional to 6,838.56, 10,257.42 and 2,677.80

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Solution

The fourth proportional to 6,838.56, 10,257.42 and 2,677.80 is: 4,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.56 : 10,257.42 = 2,677.80 : x
  2. Step 2: Convert to fraction form
    6,838.56/10,257.42 = 2,677.80/x
  3. Step 3: Cross multiply
    6,838.56x = 10,257.42 × 2,677.80
  4. Step 4: Simplify right side
    6,838.56x = 27,467,319.28
  5. Step 5: Solve for x
    x = 27,467,319.28/6,838.56
  6. Step 6: Final answer
    x = 4,016.54

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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.