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Finding the Fourth Proportional to 8,205.35, 11,311.57 and 5,843.39

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Solution

The fourth proportional to 8,205.35, 11,311.57 and 5,843.39 is: 8,055.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.35 : 11,311.57 = 5,843.39 : x
  2. Step 2: Convert to fraction form
    8,205.35/11,311.57 = 5,843.39/x
  3. Step 3: Cross multiply
    8,205.35x = 11,311.57 × 5,843.39
  4. Step 4: Simplify right side
    8,205.35x = 66,097,945.83
  5. Step 5: Solve for x
    x = 66,097,945.83/8,205.35
  6. Step 6: Final answer
    x = 8,055.47

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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.