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Finding the Fourth Proportional to 10,797.80, 16,184.54 and 8,193

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Solution

The fourth proportional to 10,797.80, 16,184.54 and 8,193 is: 12,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.80 : 16,184.54 = 8,193 : x
  2. Step 2: Convert to fraction form
    10,797.80/16,184.54 = 8,193/x
  3. Step 3: Cross multiply
    10,797.80x = 16,184.54 × 8,193
  4. Step 4: Simplify right side
    10,797.80x = 132,599,936.22
  5. Step 5: Solve for x
    x = 132,599,936.22/10,797.80
  6. Step 6: Final answer
    x = 12,280.27

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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.