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Finding the Fourth Proportional to 10,796.70, 16,168.02 and 6,836.04

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Solution

The fourth proportional to 10,796.70, 16,168.02 and 6,836.04 is: 10,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.70 : 16,168.02 = 6,836.04 : x
  2. Step 2: Convert to fraction form
    10,796.70/16,168.02 = 6,836.04/x
  3. Step 3: Cross multiply
    10,796.70x = 16,168.02 × 6,836.04
  4. Step 4: Simplify right side
    10,796.70x = 110,525,231.44
  5. Step 5: Solve for x
    x = 110,525,231.44/10,796.70
  6. Step 6: Final answer
    x = 10,236.95

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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.