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Finding the Fourth Proportional to 11,894.49, 17,842.68 and 3,997.08

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Solution

The fourth proportional to 11,894.49, 17,842.68 and 3,997.08 is: 5,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.49 : 17,842.68 = 3,997.08 : x
  2. Step 2: Convert to fraction form
    11,894.49/17,842.68 = 3,997.08/x
  3. Step 3: Cross multiply
    11,894.49x = 17,842.68 × 3,997.08
  4. Step 4: Simplify right side
    11,894.49x = 71,318,619.37
  5. Step 5: Solve for x
    x = 71,318,619.37/11,894.49
  6. Step 6: Final answer
    x = 5,995.94

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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.