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Finding the Fourth Proportional to 11,911.82, 16,441.71 and 7,196.42

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Solution

The fourth proportional to 11,911.82, 16,441.71 and 7,196.42 is: 9,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.82 : 16,441.71 = 7,196.42 : x
  2. Step 2: Convert to fraction form
    11,911.82/16,441.71 = 7,196.42/x
  3. Step 3: Cross multiply
    11,911.82x = 16,441.71 × 7,196.42
  4. Step 4: Simplify right side
    11,911.82x = 118,321,450.68
  5. Step 5: Solve for x
    x = 118,321,450.68/11,911.82
  6. Step 6: Final answer
    x = 9,933.11

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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.