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Finding the Fourth Proportional to 11,796.35, 16,279.11 and 6,491.05

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Solution

The fourth proportional to 11,796.35, 16,279.11 and 6,491.05 is: 8,957.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.35 : 16,279.11 = 6,491.05 : x
  2. Step 2: Convert to fraction form
    11,796.35/16,279.11 = 6,491.05/x
  3. Step 3: Cross multiply
    11,796.35x = 16,279.11 × 6,491.05
  4. Step 4: Simplify right side
    11,796.35x = 105,668,516.97
  5. Step 5: Solve for x
    x = 105,668,516.97/11,796.35
  6. Step 6: Final answer
    x = 8,957.73

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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.