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Finding the Fourth Proportional to 11,796.92, 16,279.44 and 6,491.78

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Solution

The fourth proportional to 11,796.92, 16,279.44 and 6,491.78 is: 8,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.92 : 16,279.44 = 6,491.78 : x
  2. Step 2: Convert to fraction form
    11,796.92/16,279.44 = 6,491.78/x
  3. Step 3: Cross multiply
    11,796.92x = 16,279.44 × 6,491.78
  4. Step 4: Simplify right side
    11,796.92x = 105,682,543.00
  5. Step 5: Solve for x
    x = 105,682,543.00/11,796.92
  6. Step 6: Final answer
    x = 8,958.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.