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Finding the Fourth Proportional to 6,833.84, 10,255.07 and 3,917.84

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Solution

The fourth proportional to 6,833.84, 10,255.07 and 3,917.84 is: 5,879.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.84 : 10,255.07 = 3,917.84 : x
  2. Step 2: Convert to fraction form
    6,833.84/10,255.07 = 3,917.84/x
  3. Step 3: Cross multiply
    6,833.84x = 10,255.07 × 3,917.84
  4. Step 4: Simplify right side
    6,833.84x = 40,177,681.97
  5. Step 5: Solve for x
    x = 40,177,681.97/6,833.84
  6. Step 6: Final answer
    x = 5,879.23

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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.