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Finding the Fourth Proportional to 11,796.24, 16,279.24 and 6,491.46

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Solution

The fourth proportional to 11,796.24, 16,279.24 and 6,491.46 is: 8,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.24 : 16,279.24 = 6,491.46 : x
  2. Step 2: Convert to fraction form
    11,796.24/16,279.24 = 6,491.46/x
  3. Step 3: Cross multiply
    11,796.24x = 16,279.24 × 6,491.46
  4. Step 4: Simplify right side
    11,796.24x = 105,676,035.29
  5. Step 5: Solve for x
    x = 105,676,035.29/11,796.24
  6. Step 6: Final answer
    x = 8,958.45

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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.