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Finding the Fourth Proportional to 7,667.48, 11,491.60 and 3,279.78

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Solution

The fourth proportional to 7,667.48, 11,491.60 and 3,279.78 is: 4,915.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.48 : 11,491.60 = 3,279.78 : x
  2. Step 2: Convert to fraction form
    7,667.48/11,491.60 = 3,279.78/x
  3. Step 3: Cross multiply
    7,667.48x = 11,491.60 × 3,279.78
  4. Step 4: Simplify right side
    7,667.48x = 37,689,919.85
  5. Step 5: Solve for x
    x = 37,689,919.85/7,667.48
  6. Step 6: Final answer
    x = 4,915.56

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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.