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Finding the Fourth Proportional to 6,773.88, 10,162.70 and 2,827

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Solution

The fourth proportional to 6,773.88, 10,162.70 and 2,827 is: 4,241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.88 : 10,162.70 = 2,827 : x
  2. Step 2: Convert to fraction form
    6,773.88/10,162.70 = 2,827/x
  3. Step 3: Cross multiply
    6,773.88x = 10,162.70 × 2,827
  4. Step 4: Simplify right side
    6,773.88x = 28,729,952.90
  5. Step 5: Solve for x
    x = 28,729,952.90/6,773.88
  6. Step 6: Final answer
    x = 4,241.28

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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.