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Finding the Fourth Proportional to 11,793.82, 17,690.49 and 4,771.90

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Solution

The fourth proportional to 11,793.82, 17,690.49 and 4,771.90 is: 7,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.82 : 17,690.49 = 4,771.90 : x
  2. Step 2: Convert to fraction form
    11,793.82/17,690.49 = 4,771.90/x
  3. Step 3: Cross multiply
    11,793.82x = 17,690.49 × 4,771.90
  4. Step 4: Simplify right side
    11,793.82x = 84,417,249.23
  5. Step 5: Solve for x
    x = 84,417,249.23/11,793.82
  6. Step 6: Final answer
    x = 7,157.75

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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.