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Finding the Fourth Proportional to 6,767.60, 10,144.68 and 3,256.88

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Solution

The fourth proportional to 6,767.60, 10,144.68 and 3,256.88 is: 4,882.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.60 : 10,144.68 = 3,256.88 : x
  2. Step 2: Convert to fraction form
    6,767.60/10,144.68 = 3,256.88/x
  3. Step 3: Cross multiply
    6,767.60x = 10,144.68 × 3,256.88
  4. Step 4: Simplify right side
    6,767.60x = 33,040,005.40
  5. Step 5: Solve for x
    x = 33,040,005.40/6,767.60
  6. Step 6: Final answer
    x = 4,882.09

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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.