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Finding the Fourth Proportional to 7,855.29, 11,781.86 and 2,660.49

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Solution

The fourth proportional to 7,855.29, 11,781.86 and 2,660.49 is: 3,990.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.29 : 11,781.86 = 2,660.49 : x
  2. Step 2: Convert to fraction form
    7,855.29/11,781.86 = 2,660.49/x
  3. Step 3: Cross multiply
    7,855.29x = 11,781.86 × 2,660.49
  4. Step 4: Simplify right side
    7,855.29x = 31,345,507.41
  5. Step 5: Solve for x
    x = 31,345,507.41/7,855.29
  6. Step 6: Final answer
    x = 3,990.37

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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.