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Finding the Fourth Proportional to 11,980.82, 16,524.73 and 7,940.34

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Solution

The fourth proportional to 11,980.82, 16,524.73 and 7,940.34 is: 10,951.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.82 : 16,524.73 = 7,940.34 : x
  2. Step 2: Convert to fraction form
    11,980.82/16,524.73 = 7,940.34/x
  3. Step 3: Cross multiply
    11,980.82x = 16,524.73 × 7,940.34
  4. Step 4: Simplify right side
    11,980.82x = 131,211,954.76
  5. Step 5: Solve for x
    x = 131,211,954.76/11,980.82
  6. Step 6: Final answer
    x = 10,951.83

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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.