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Finding the Fourth Proportional to 11,754.28, 17,634.24 and 3,434.44

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Solution

The fourth proportional to 11,754.28, 17,634.24 and 3,434.44 is: 5,152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.28 : 17,634.24 = 3,434.44 : x
  2. Step 2: Convert to fraction form
    11,754.28/17,634.24 = 3,434.44/x
  3. Step 3: Cross multiply
    11,754.28x = 17,634.24 × 3,434.44
  4. Step 4: Simplify right side
    11,754.28x = 60,563,739.23
  5. Step 5: Solve for x
    x = 60,563,739.23/11,754.28
  6. Step 6: Final answer
    x = 5,152.48

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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.