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Finding the Fourth Proportional to 7,851.88, 11,777.04 and 2,586.73

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Solution

The fourth proportional to 7,851.88, 11,777.04 and 2,586.73 is: 3,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.88 : 11,777.04 = 2,586.73 : x
  2. Step 2: Convert to fraction form
    7,851.88/11,777.04 = 2,586.73/x
  3. Step 3: Cross multiply
    7,851.88x = 11,777.04 × 2,586.73
  4. Step 4: Simplify right side
    7,851.88x = 30,464,022.68
  5. Step 5: Solve for x
    x = 30,464,022.68/7,851.88
  6. Step 6: Final answer
    x = 3,879.84

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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.