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Finding the Fourth Proportional to 7,662.86, 11,493.07 and 3,500.27

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Solution

The fourth proportional to 7,662.86, 11,493.07 and 3,500.27 is: 5,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.86 : 11,493.07 = 3,500.27 : x
  2. Step 2: Convert to fraction form
    7,662.86/11,493.07 = 3,500.27/x
  3. Step 3: Cross multiply
    7,662.86x = 11,493.07 × 3,500.27
  4. Step 4: Simplify right side
    7,662.86x = 40,228,848.13
  5. Step 5: Solve for x
    x = 40,228,848.13/7,662.86
  6. Step 6: Final answer
    x = 5,249.85

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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.