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Finding the Fourth Proportional to 10,793.46, 16,180.60 and 4,218.16

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Solution

The fourth proportional to 10,793.46, 16,180.60 and 4,218.16 is: 6,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.46 : 16,180.60 = 4,218.16 : x
  2. Step 2: Convert to fraction form
    10,793.46/16,180.60 = 4,218.16/x
  3. Step 3: Cross multiply
    10,793.46x = 16,180.60 × 4,218.16
  4. Step 4: Simplify right side
    10,793.46x = 68,252,359.70
  5. Step 5: Solve for x
    x = 68,252,359.70/10,793.46
  6. Step 6: Final answer
    x = 6,323.49

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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.