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Finding the Fourth Proportional to 8,674.43, 11,976.57 and 5,695.33

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Solution

The fourth proportional to 8,674.43, 11,976.57 and 5,695.33 is: 7,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.43 : 11,976.57 = 5,695.33 : x
  2. Step 2: Convert to fraction form
    8,674.43/11,976.57 = 5,695.33/x
  3. Step 3: Cross multiply
    8,674.43x = 11,976.57 × 5,695.33
  4. Step 4: Simplify right side
    8,674.43x = 68,210,458.54
  5. Step 5: Solve for x
    x = 68,210,458.54/8,674.43
  6. Step 6: Final answer
    x = 7,863.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.