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Finding the Fourth Proportional to 11,679.82, 17,521.71 and 5,105.86

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Solution

The fourth proportional to 11,679.82, 17,521.71 and 5,105.86 is: 7,659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.82 : 17,521.71 = 5,105.86 : x
  2. Step 2: Convert to fraction form
    11,679.82/17,521.71 = 5,105.86/x
  3. Step 3: Cross multiply
    11,679.82x = 17,521.71 × 5,105.86
  4. Step 4: Simplify right side
    11,679.82x = 89,463,398.22
  5. Step 5: Solve for x
    x = 89,463,398.22/11,679.82
  6. Step 6: Final answer
    x = 7,659.66

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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.