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Finding the Fourth Proportional to 11,980.31, 16,532.11 and 6,944.14

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Solution

The fourth proportional to 11,980.31, 16,532.11 and 6,944.14 is: 9,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.31 : 16,532.11 = 6,944.14 : x
  2. Step 2: Convert to fraction form
    11,980.31/16,532.11 = 6,944.14/x
  3. Step 3: Cross multiply
    11,980.31x = 16,532.11 × 6,944.14
  4. Step 4: Simplify right side
    11,980.31x = 114,801,286.34
  5. Step 5: Solve for x
    x = 114,801,286.34/11,980.31
  6. Step 6: Final answer
    x = 9,582.50

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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.