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Finding the Fourth Proportional to 6,877.44, 10,301.67 and 5,704.56

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Solution

The fourth proportional to 6,877.44, 10,301.67 and 5,704.56 is: 8,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.44 : 10,301.67 = 5,704.56 : x
  2. Step 2: Convert to fraction form
    6,877.44/10,301.67 = 5,704.56/x
  3. Step 3: Cross multiply
    6,877.44x = 10,301.67 × 5,704.56
  4. Step 4: Simplify right side
    6,877.44x = 58,766,494.62
  5. Step 5: Solve for x
    x = 58,766,494.62/6,877.44
  6. Step 6: Final answer
    x = 8,544.82

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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.