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Finding the Fourth Proportional to 6,777.62, 10,165.37 and 1,847.66

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Solution

The fourth proportional to 6,777.62, 10,165.37 and 1,847.66 is: 2,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.62 : 10,165.37 = 1,847.66 : x
  2. Step 2: Convert to fraction form
    6,777.62/10,165.37 = 1,847.66/x
  3. Step 3: Cross multiply
    6,777.62x = 10,165.37 × 1,847.66
  4. Step 4: Simplify right side
    6,777.62x = 18,782,101.33
  5. Step 5: Solve for x
    x = 18,782,101.33/6,777.62
  6. Step 6: Final answer
    x = 2,771.20

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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.