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Finding the Fourth Proportional to 8,027.87, 12,043.85 and 3,096.18

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Solution

The fourth proportional to 8,027.87, 12,043.85 and 3,096.18 is: 4,645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.87 : 12,043.85 = 3,096.18 : x
  2. Step 2: Convert to fraction form
    8,027.87/12,043.85 = 3,096.18/x
  3. Step 3: Cross multiply
    8,027.87x = 12,043.85 × 3,096.18
  4. Step 4: Simplify right side
    8,027.87x = 37,289,927.49
  5. Step 5: Solve for x
    x = 37,289,927.49/8,027.87
  6. Step 6: Final answer
    x = 4,645.06

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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.