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Finding the Fourth Proportional to 8,201.07, 11,292.08 and 6,801.39

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Solution

The fourth proportional to 8,201.07, 11,292.08 and 6,801.39 is: 9,364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.07 : 11,292.08 = 6,801.39 : x
  2. Step 2: Convert to fraction form
    8,201.07/11,292.08 = 6,801.39/x
  3. Step 3: Cross multiply
    8,201.07x = 11,292.08 × 6,801.39
  4. Step 4: Simplify right side
    8,201.07x = 76,801,805.98
  5. Step 5: Solve for x
    x = 76,801,805.98/8,201.07
  6. Step 6: Final answer
    x = 9,364.85

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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.