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Finding the Fourth Proportional to 6,757.27, 10,137.41 and 2,077.75

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Solution

The fourth proportional to 6,757.27, 10,137.41 and 2,077.75 is: 3,117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.27 : 10,137.41 = 2,077.75 : x
  2. Step 2: Convert to fraction form
    6,757.27/10,137.41 = 2,077.75/x
  3. Step 3: Cross multiply
    6,757.27x = 10,137.41 × 2,077.75
  4. Step 4: Simplify right side
    6,757.27x = 21,063,003.63
  5. Step 5: Solve for x
    x = 21,063,003.63/6,757.27
  6. Step 6: Final answer
    x = 3,117.09

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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.