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Finding the Fourth Proportional to 11,698.30, 17,524.77 and 5,859.82

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Solution

The fourth proportional to 11,698.30, 17,524.77 and 5,859.82 is: 8,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.30 : 17,524.77 = 5,859.82 : x
  2. Step 2: Convert to fraction form
    11,698.30/17,524.77 = 5,859.82/x
  3. Step 3: Cross multiply
    11,698.30x = 17,524.77 × 5,859.82
  4. Step 4: Simplify right side
    11,698.30x = 102,691,997.74
  5. Step 5: Solve for x
    x = 102,691,997.74/11,698.30
  6. Step 6: Final answer
    x = 8,778.37

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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.