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Finding the Fourth Proportional to 11,796.60, 16,279.56 and 6,491.92

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Solution

The fourth proportional to 11,796.60, 16,279.56 and 6,491.92 is: 8,958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.60 : 16,279.56 = 6,491.92 : x
  2. Step 2: Convert to fraction form
    11,796.60/16,279.56 = 6,491.92/x
  3. Step 3: Cross multiply
    11,796.60x = 16,279.56 × 6,491.92
  4. Step 4: Simplify right side
    11,796.60x = 105,685,601.16
  5. Step 5: Solve for x
    x = 105,685,601.16/11,796.60
  6. Step 6: Final answer
    x = 8,958.99

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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.