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Finding the Fourth Proportional to 11,198.94, 16,797.83 and 4,178.40

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Solution

The fourth proportional to 11,198.94, 16,797.83 and 4,178.40 is: 6,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.94 : 16,797.83 = 4,178.40 : x
  2. Step 2: Convert to fraction form
    11,198.94/16,797.83 = 4,178.40/x
  3. Step 3: Cross multiply
    11,198.94x = 16,797.83 × 4,178.40
  4. Step 4: Simplify right side
    11,198.94x = 70,188,122.41
  5. Step 5: Solve for x
    x = 70,188,122.41/11,198.94
  6. Step 6: Final answer
    x = 6,267.39

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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.