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Finding the Fourth Proportional to 10,793.40, 16,194.58 and 5,168.24

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Solution

The fourth proportional to 10,793.40, 16,194.58 and 5,168.24 is: 7,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.40 : 16,194.58 = 5,168.24 : x
  2. Step 2: Convert to fraction form
    10,793.40/16,194.58 = 5,168.24/x
  3. Step 3: Cross multiply
    10,793.40x = 16,194.58 × 5,168.24
  4. Step 4: Simplify right side
    10,793.40x = 83,697,369.33
  5. Step 5: Solve for x
    x = 83,697,369.33/10,793.40
  6. Step 6: Final answer
    x = 7,754.50

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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.