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Finding the Fourth Proportional to 8,023.88, 12,027.72 and 3,857.78

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Solution

The fourth proportional to 8,023.88, 12,027.72 and 3,857.78 is: 5,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.88 : 12,027.72 = 3,857.78 : x
  2. Step 2: Convert to fraction form
    8,023.88/12,027.72 = 3,857.78/x
  3. Step 3: Cross multiply
    8,023.88x = 12,027.72 × 3,857.78
  4. Step 4: Simplify right side
    8,023.88x = 46,400,297.66
  5. Step 5: Solve for x
    x = 46,400,297.66/8,023.88
  6. Step 6: Final answer
    x = 5,782.78

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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.