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Finding the Fourth Proportional to 11,996.84, 17,997.39 and 5,768.15

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Solution

The fourth proportional to 11,996.84, 17,997.39 and 5,768.15 is: 8,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.84 : 17,997.39 = 5,768.15 : x
  2. Step 2: Convert to fraction form
    11,996.84/17,997.39 = 5,768.15/x
  3. Step 3: Cross multiply
    11,996.84x = 17,997.39 × 5,768.15
  4. Step 4: Simplify right side
    11,996.84x = 103,811,555.14
  5. Step 5: Solve for x
    x = 103,811,555.14/11,996.84
  6. Step 6: Final answer
    x = 8,653.24

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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.