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Finding the Fourth Proportional to 8,107.97, 11,190.15 and 5,877.23

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Solution

The fourth proportional to 8,107.97, 11,190.15 and 5,877.23 is: 8,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.97 : 11,190.15 = 5,877.23 : x
  2. Step 2: Convert to fraction form
    8,107.97/11,190.15 = 5,877.23/x
  3. Step 3: Cross multiply
    8,107.97x = 11,190.15 × 5,877.23
  4. Step 4: Simplify right side
    8,107.97x = 65,767,029.33
  5. Step 5: Solve for x
    x = 65,767,029.33/8,107.97
  6. Step 6: Final answer
    x = 8,111.41

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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.