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Finding the Fourth Proportional to 8,027.98, 12,043.32 and 2,762.78

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Solution

The fourth proportional to 8,027.98, 12,043.32 and 2,762.78 is: 4,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.98 : 12,043.32 = 2,762.78 : x
  2. Step 2: Convert to fraction form
    8,027.98/12,043.32 = 2,762.78/x
  3. Step 3: Cross multiply
    8,027.98x = 12,043.32 × 2,762.78
  4. Step 4: Simplify right side
    8,027.98x = 33,272,973.05
  5. Step 5: Solve for x
    x = 33,272,973.05/8,027.98
  6. Step 6: Final answer
    x = 4,144.63

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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.