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Finding the Fourth Proportional to 7,249.72, 10,872.96 and 3,352

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Solution

The fourth proportional to 7,249.72, 10,872.96 and 3,352 is: 5,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.72 : 10,872.96 = 3,352 : x
  2. Step 2: Convert to fraction form
    7,249.72/10,872.96 = 3,352/x
  3. Step 3: Cross multiply
    7,249.72x = 10,872.96 × 3,352
  4. Step 4: Simplify right side
    7,249.72x = 36,446,161.92
  5. Step 5: Solve for x
    x = 36,446,161.92/7,249.72
  6. Step 6: Final answer
    x = 5,027.25

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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.