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Finding the Fourth Proportional to 6,778.60, 10,163.84 and 3,266.44

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Solution

The fourth proportional to 6,778.60, 10,163.84 and 3,266.44 is: 4,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.60 : 10,163.84 = 3,266.44 : x
  2. Step 2: Convert to fraction form
    6,778.60/10,163.84 = 3,266.44/x
  3. Step 3: Cross multiply
    6,778.60x = 10,163.84 × 3,266.44
  4. Step 4: Simplify right side
    6,778.60x = 33,199,573.53
  5. Step 5: Solve for x
    x = 33,199,573.53/6,778.60
  6. Step 6: Final answer
    x = 4,897.70

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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.