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Finding the Fourth Proportional to 8,027.02, 12,039.99 and 3,410.02

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Solution

The fourth proportional to 8,027.02, 12,039.99 and 3,410.02 is: 5,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.02 : 12,039.99 = 3,410.02 : x
  2. Step 2: Convert to fraction form
    8,027.02/12,039.99 = 3,410.02/x
  3. Step 3: Cross multiply
    8,027.02x = 12,039.99 × 3,410.02
  4. Step 4: Simplify right side
    8,027.02x = 41,056,606.70
  5. Step 5: Solve for x
    x = 41,056,606.70/8,027.02
  6. Step 6: Final answer
    x = 5,114.80

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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.