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Finding the Fourth Proportional to 11,754.28, 17,633.07 and 3,434.91

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Solution

The fourth proportional to 11,754.28, 17,633.07 and 3,434.91 is: 5,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.28 : 17,633.07 = 3,434.91 : x
  2. Step 2: Convert to fraction form
    11,754.28/17,633.07 = 3,434.91/x
  3. Step 3: Cross multiply
    11,754.28x = 17,633.07 × 3,434.91
  4. Step 4: Simplify right side
    11,754.28x = 60,567,903.13
  5. Step 5: Solve for x
    x = 60,567,903.13/11,754.28
  6. Step 6: Final answer
    x = 5,152.84

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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.