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Finding the Fourth Proportional to 11,638.88, 17,451.82 and 6,896.97

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Solution

The fourth proportional to 11,638.88, 17,451.82 and 6,896.97 is: 10,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.88 : 17,451.82 = 6,896.97 : x
  2. Step 2: Convert to fraction form
    11,638.88/17,451.82 = 6,896.97/x
  3. Step 3: Cross multiply
    11,638.88x = 17,451.82 × 6,896.97
  4. Step 4: Simplify right side
    11,638.88x = 120,364,661.74
  5. Step 5: Solve for x
    x = 120,364,661.74/11,638.88
  6. Step 6: Final answer
    x = 10,341.61

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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.