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Finding the Fourth Proportional to 6,757.38, 10,137.69 and 2,140.38

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Solution

The fourth proportional to 6,757.38, 10,137.69 and 2,140.38 is: 3,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.38 : 10,137.69 = 2,140.38 : x
  2. Step 2: Convert to fraction form
    6,757.38/10,137.69 = 2,140.38/x
  3. Step 3: Cross multiply
    6,757.38x = 10,137.69 × 2,140.38
  4. Step 4: Simplify right side
    6,757.38x = 21,698,508.92
  5. Step 5: Solve for x
    x = 21,698,508.92/6,757.38
  6. Step 6: Final answer
    x = 3,211.08

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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.