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Finding the Fourth Proportional to 11,647.74, 17,474.49 and 3,857.34

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Solution

The fourth proportional to 11,647.74, 17,474.49 and 3,857.34 is: 5,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.74 : 17,474.49 = 3,857.34 : x
  2. Step 2: Convert to fraction form
    11,647.74/17,474.49 = 3,857.34/x
  3. Step 3: Cross multiply
    11,647.74x = 17,474.49 × 3,857.34
  4. Step 4: Simplify right side
    11,647.74x = 67,405,049.26
  5. Step 5: Solve for x
    x = 67,405,049.26/11,647.74
  6. Step 6: Final answer
    x = 5,786.96

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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.