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Finding the Fourth Proportional to 7,751.92, 11,627.62 and 3,369.38

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Solution

The fourth proportional to 7,751.92, 11,627.62 and 3,369.38 is: 5,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.92 : 11,627.62 = 3,369.38 : x
  2. Step 2: Convert to fraction form
    7,751.92/11,627.62 = 3,369.38/x
  3. Step 3: Cross multiply
    7,751.92x = 11,627.62 × 3,369.38
  4. Step 4: Simplify right side
    7,751.92x = 39,177,870.28
  5. Step 5: Solve for x
    x = 39,177,870.28/7,751.92
  6. Step 6: Final answer
    x = 5,053.96

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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.