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Finding the Fourth Proportional to 11,754.64, 17,634.39 and 3,963.25

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Solution

The fourth proportional to 11,754.64, 17,634.39 and 3,963.25 is: 5,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.64 : 17,634.39 = 3,963.25 : x
  2. Step 2: Convert to fraction form
    11,754.64/17,634.39 = 3,963.25/x
  3. Step 3: Cross multiply
    11,754.64x = 17,634.39 × 3,963.25
  4. Step 4: Simplify right side
    11,754.64x = 69,889,496.17
  5. Step 5: Solve for x
    x = 69,889,496.17/11,754.64
  6. Step 6: Final answer
    x = 5,945.69

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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.