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Finding the Fourth Proportional to 11,522.30, 17,286.20 and 3,731.12

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Solution

The fourth proportional to 11,522.30, 17,286.20 and 3,731.12 is: 5,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.30 : 17,286.20 = 3,731.12 : x
  2. Step 2: Convert to fraction form
    11,522.30/17,286.20 = 3,731.12/x
  3. Step 3: Cross multiply
    11,522.30x = 17,286.20 × 3,731.12
  4. Step 4: Simplify right side
    11,522.30x = 64,496,781.46
  5. Step 5: Solve for x
    x = 64,496,781.46/11,522.30
  6. Step 6: Final answer
    x = 5,597.56

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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.