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Finding the Fourth Proportional to 11,796.41, 16,279.17 and 6,491.34

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Solution

The fourth proportional to 11,796.41, 16,279.17 and 6,491.34 is: 8,958.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.41 : 16,279.17 = 6,491.34 : x
  2. Step 2: Convert to fraction form
    11,796.41/16,279.17 = 6,491.34/x
  3. Step 3: Cross multiply
    11,796.41x = 16,279.17 × 6,491.34
  4. Step 4: Simplify right side
    11,796.41x = 105,673,627.39
  5. Step 5: Solve for x
    x = 105,673,627.39/11,796.41
  6. Step 6: Final answer
    x = 8,958.12

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Why These Related Problems?

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