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Finding the Fourth Proportional to 8,039.60, 12,057.46 and 2,196.24

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Solution

The fourth proportional to 8,039.60, 12,057.46 and 2,196.24 is: 3,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.60 : 12,057.46 = 2,196.24 : x
  2. Step 2: Convert to fraction form
    8,039.60/12,057.46 = 2,196.24/x
  3. Step 3: Cross multiply
    8,039.60x = 12,057.46 × 2,196.24
  4. Step 4: Simplify right side
    8,039.60x = 26,481,075.95
  5. Step 5: Solve for x
    x = 26,481,075.95/8,039.60
  6. Step 6: Final answer
    x = 3,293.83

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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.