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Finding the Fourth Proportional to 7,231.96, 10,849.14 and 2,550.64

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Solution

The fourth proportional to 7,231.96, 10,849.14 and 2,550.64 is: 3,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.96 : 10,849.14 = 2,550.64 : x
  2. Step 2: Convert to fraction form
    7,231.96/10,849.14 = 2,550.64/x
  3. Step 3: Cross multiply
    7,231.96x = 10,849.14 × 2,550.64
  4. Step 4: Simplify right side
    7,231.96x = 27,672,250.45
  5. Step 5: Solve for x
    x = 27,672,250.45/7,231.96
  6. Step 6: Final answer
    x = 3,826.38

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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.