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Finding the Fourth Proportional to 10,205.28, 14,093.16 and 8,794.80

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Solution

The fourth proportional to 10,205.28, 14,093.16 and 8,794.80 is: 12,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.28 : 14,093.16 = 8,794.80 : x
  2. Step 2: Convert to fraction form
    10,205.28/14,093.16 = 8,794.80/x
  3. Step 3: Cross multiply
    10,205.28x = 14,093.16 × 8,794.80
  4. Step 4: Simplify right side
    10,205.28x = 123,946,523.57
  5. Step 5: Solve for x
    x = 123,946,523.57/10,205.28
  6. Step 6: Final answer
    x = 12,145.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.