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Finding the Fourth Proportional to 11,832.72, 17,755.32 and 7,671.66

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Solution

The fourth proportional to 11,832.72, 17,755.32 and 7,671.66 is: 11,511.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.72 : 17,755.32 = 7,671.66 : x
  2. Step 2: Convert to fraction form
    11,832.72/17,755.32 = 7,671.66/x
  3. Step 3: Cross multiply
    11,832.72x = 17,755.32 × 7,671.66
  4. Step 4: Simplify right side
    11,832.72x = 136,212,778.23
  5. Step 5: Solve for x
    x = 136,212,778.23/11,832.72
  6. Step 6: Final answer
    x = 11,511.54

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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.