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Finding the Fourth Proportional to 11,396.71, 17,084.66 and 3,997.14

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Solution

The fourth proportional to 11,396.71, 17,084.66 and 3,997.14 is: 5,992.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.71 : 17,084.66 = 3,997.14 : x
  2. Step 2: Convert to fraction form
    11,396.71/17,084.66 = 3,997.14/x
  3. Step 3: Cross multiply
    11,396.71x = 17,084.66 × 3,997.14
  4. Step 4: Simplify right side
    11,396.71x = 68,289,777.87
  5. Step 5: Solve for x
    x = 68,289,777.87/11,396.71
  6. Step 6: Final answer
    x = 5,992.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.