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Finding the Fourth Proportional to 10,794.50, 16,192.40 and 3,399.20

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Solution

The fourth proportional to 10,794.50, 16,192.40 and 3,399.20 is: 5,099.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.50 : 16,192.40 = 3,399.20 : x
  2. Step 2: Convert to fraction form
    10,794.50/16,192.40 = 3,399.20/x
  3. Step 3: Cross multiply
    10,794.50x = 16,192.40 × 3,399.20
  4. Step 4: Simplify right side
    10,794.50x = 55,041,108.12
  5. Step 5: Solve for x
    x = 55,041,108.12/10,794.50
  6. Step 6: Final answer
    x = 5,099.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.