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Finding the Fourth Proportional to 11,896.46, 17,825.23 and 7,202.25

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Solution

The fourth proportional to 11,896.46, 17,825.23 and 7,202.25 is: 10,791.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.46 : 17,825.23 = 7,202.25 : x
  2. Step 2: Convert to fraction form
    11,896.46/17,825.23 = 7,202.25/x
  3. Step 3: Cross multiply
    11,896.46x = 17,825.23 × 7,202.25
  4. Step 4: Simplify right side
    11,896.46x = 128,381,691.42
  5. Step 5: Solve for x
    x = 128,381,691.42/11,896.46
  6. Step 6: Final answer
    x = 10,791.58

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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.