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Finding the Fourth Proportional to 8,202.97, 11,323.95 and 6,187.22

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Solution

The fourth proportional to 8,202.97, 11,323.95 and 6,187.22 is: 8,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.97 : 11,323.95 = 6,187.22 : x
  2. Step 2: Convert to fraction form
    8,202.97/11,323.95 = 6,187.22/x
  3. Step 3: Cross multiply
    8,202.97x = 11,323.95 × 6,187.22
  4. Step 4: Simplify right side
    8,202.97x = 70,063,713.30
  5. Step 5: Solve for x
    x = 70,063,713.30/8,202.97
  6. Step 6: Final answer
    x = 8,541.27

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