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Finding the Fourth Proportional to 11,754.61, 17,634.20 and 3,434.66

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Solution

The fourth proportional to 11,754.61, 17,634.20 and 3,434.66 is: 5,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.61 : 17,634.20 = 3,434.66 : x
  2. Step 2: Convert to fraction form
    11,754.61/17,634.20 = 3,434.66/x
  3. Step 3: Cross multiply
    11,754.61x = 17,634.20 × 3,434.66
  4. Step 4: Simplify right side
    11,754.61x = 60,567,508.28
  5. Step 5: Solve for x
    x = 60,567,508.28/11,754.61
  6. Step 6: Final answer
    x = 5,152.66

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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.