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Finding the Fourth Proportional to 7,193.80, 10,793.40 and 2,814.40

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Solution

The fourth proportional to 7,193.80, 10,793.40 and 2,814.40 is: 4,222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.80 : 10,793.40 = 2,814.40 : x
  2. Step 2: Convert to fraction form
    7,193.80/10,793.40 = 2,814.40/x
  3. Step 3: Cross multiply
    7,193.80x = 10,793.40 × 2,814.40
  4. Step 4: Simplify right side
    7,193.80x = 30,376,944.96
  5. Step 5: Solve for x
    x = 30,376,944.96/7,193.80
  6. Step 6: Final answer
    x = 4,222.66

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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.