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Finding the Fourth Proportional to 11,682.25, 17,523.38 and 3,474.25

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Solution

The fourth proportional to 11,682.25, 17,523.38 and 3,474.25 is: 5,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.25 : 17,523.38 = 3,474.25 : x
  2. Step 2: Convert to fraction form
    11,682.25/17,523.38 = 3,474.25/x
  3. Step 3: Cross multiply
    11,682.25x = 17,523.38 × 3,474.25
  4. Step 4: Simplify right side
    11,682.25x = 60,880,585.59
  5. Step 5: Solve for x
    x = 60,880,585.59/11,682.25
  6. Step 6: Final answer
    x = 5,211.38

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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.