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Finding the Fourth Proportional to 7,550.72, 11,327.22 and 2,357

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Solution

The fourth proportional to 7,550.72, 11,327.22 and 2,357 is: 3,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,550.72 : 11,327.22 = 2,357 : x
  2. Step 2: Convert to fraction form
    7,550.72/11,327.22 = 2,357/x
  3. Step 3: Cross multiply
    7,550.72x = 11,327.22 × 2,357
  4. Step 4: Simplify right side
    7,550.72x = 26,698,257.54
  5. Step 5: Solve for x
    x = 26,698,257.54/7,550.72
  6. Step 6: Final answer
    x = 3,535.86

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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.