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Finding the Fourth Proportional to 6,777.14, 10,157.20 and 3,857.09

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Solution

The fourth proportional to 6,777.14, 10,157.20 and 3,857.09 is: 5,780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.14 : 10,157.20 = 3,857.09 : x
  2. Step 2: Convert to fraction form
    6,777.14/10,157.20 = 3,857.09/x
  3. Step 3: Cross multiply
    6,777.14x = 10,157.20 × 3,857.09
  4. Step 4: Simplify right side
    6,777.14x = 39,177,174.12
  5. Step 5: Solve for x
    x = 39,177,174.12/6,777.14
  6. Step 6: Final answer
    x = 5,780.79

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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.