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Finding the Fourth Proportional to 7,937.26, 11,906.37 and 2,671.82

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Solution

The fourth proportional to 7,937.26, 11,906.37 and 2,671.82 is: 4,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.26 : 11,906.37 = 2,671.82 : x
  2. Step 2: Convert to fraction form
    7,937.26/11,906.37 = 2,671.82/x
  3. Step 3: Cross multiply
    7,937.26x = 11,906.37 × 2,671.82
  4. Step 4: Simplify right side
    7,937.26x = 31,811,662.61
  5. Step 5: Solve for x
    x = 31,811,662.61/7,937.26
  6. Step 6: Final answer
    x = 4,007.89

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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.