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Finding the Fourth Proportional to 11,523.21, 17,294.04 and 5,286.16

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Solution

The fourth proportional to 11,523.21, 17,294.04 and 5,286.16 is: 7,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.21 : 17,294.04 = 5,286.16 : x
  2. Step 2: Convert to fraction form
    11,523.21/17,294.04 = 5,286.16/x
  3. Step 3: Cross multiply
    11,523.21x = 17,294.04 × 5,286.16
  4. Step 4: Simplify right side
    11,523.21x = 91,419,062.49
  5. Step 5: Solve for x
    x = 91,419,062.49/11,523.21
  6. Step 6: Final answer
    x = 7,933.47

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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.