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Finding the Fourth Proportional to 8,323.22, 11,470.25 and 5,961.26

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Solution

The fourth proportional to 8,323.22, 11,470.25 and 5,961.26 is: 8,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.22 : 11,470.25 = 5,961.26 : x
  2. Step 2: Convert to fraction form
    8,323.22/11,470.25 = 5,961.26/x
  3. Step 3: Cross multiply
    8,323.22x = 11,470.25 × 5,961.26
  4. Step 4: Simplify right side
    8,323.22x = 68,377,055.36
  5. Step 5: Solve for x
    x = 68,377,055.36/8,323.22
  6. Step 6: Final answer
    x = 8,215.22

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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.