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Finding the Fourth Proportional to 7,657.75, 11,488.22 and 2,727.37

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Solution

The fourth proportional to 7,657.75, 11,488.22 and 2,727.37 is: 4,091.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.75 : 11,488.22 = 2,727.37 : x
  2. Step 2: Convert to fraction form
    7,657.75/11,488.22 = 2,727.37/x
  3. Step 3: Cross multiply
    7,657.75x = 11,488.22 × 2,727.37
  4. Step 4: Simplify right side
    7,657.75x = 31,332,555.50
  5. Step 5: Solve for x
    x = 31,332,555.50/7,657.75
  6. Step 6: Final answer
    x = 4,091.62

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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.