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Finding the Fourth Proportional to 11,474.56, 17,214 and 3,682.72

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Solution

The fourth proportional to 11,474.56, 17,214 and 3,682.72 is: 5,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.56 : 17,214 = 3,682.72 : x
  2. Step 2: Convert to fraction form
    11,474.56/17,214 = 3,682.72/x
  3. Step 3: Cross multiply
    11,474.56x = 17,214 × 3,682.72
  4. Step 4: Simplify right side
    11,474.56x = 63,394,342.08
  5. Step 5: Solve for x
    x = 63,394,342.08/11,474.56
  6. Step 6: Final answer
    x = 5,524.77

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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.