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Finding the Fourth Proportional to 10,794.29, 16,191.17 and 3,297.83

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Solution

The fourth proportional to 10,794.29, 16,191.17 and 3,297.83 is: 4,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.29 : 16,191.17 = 3,297.83 : x
  2. Step 2: Convert to fraction form
    10,794.29/16,191.17 = 3,297.83/x
  3. Step 3: Cross multiply
    10,794.29x = 16,191.17 × 3,297.83
  4. Step 4: Simplify right side
    10,794.29x = 53,395,628.72
  5. Step 5: Solve for x
    x = 53,395,628.72/10,794.29
  6. Step 6: Final answer
    x = 4,946.66

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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.