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Finding the Fourth Proportional to 7,093.86, 10,642.33 and 2,163.37

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Solution

The fourth proportional to 7,093.86, 10,642.33 and 2,163.37 is: 3,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.86 : 10,642.33 = 2,163.37 : x
  2. Step 2: Convert to fraction form
    7,093.86/10,642.33 = 2,163.37/x
  3. Step 3: Cross multiply
    7,093.86x = 10,642.33 × 2,163.37
  4. Step 4: Simplify right side
    7,093.86x = 23,023,297.45
  5. Step 5: Solve for x
    x = 23,023,297.45/7,093.86
  6. Step 6: Final answer
    x = 3,245.52

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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.