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Finding the Fourth Proportional to 8,320.37, 11,418.21 and 7,850.86

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Solution

The fourth proportional to 8,320.37, 11,418.21 and 7,850.86 is: 10,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320.37 : 11,418.21 = 7,850.86 : x
  2. Step 2: Convert to fraction form
    8,320.37/11,418.21 = 7,850.86/x
  3. Step 3: Cross multiply
    8,320.37x = 11,418.21 × 7,850.86
  4. Step 4: Simplify right side
    8,320.37x = 89,642,739.62
  5. Step 5: Solve for x
    x = 89,642,739.62/8,320.37
  6. Step 6: Final answer
    x = 10,773.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.