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Finding the Fourth Proportional to 6,777.38, 10,167.18 and 2,096.30

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Solution

The fourth proportional to 6,777.38, 10,167.18 and 2,096.30 is: 3,144.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.38 : 10,167.18 = 2,096.30 : x
  2. Step 2: Convert to fraction form
    6,777.38/10,167.18 = 2,096.30/x
  3. Step 3: Cross multiply
    6,777.38x = 10,167.18 × 2,096.30
  4. Step 4: Simplify right side
    6,777.38x = 21,313,459.43
  5. Step 5: Solve for x
    x = 21,313,459.43/6,777.38
  6. Step 6: Final answer
    x = 3,144.79

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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.