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Finding the Fourth Proportional to 8,107.40, 11,172.92 and 5,865.48

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Solution

The fourth proportional to 8,107.40, 11,172.92 and 5,865.48 is: 8,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.40 : 11,172.92 = 5,865.48 : x
  2. Step 2: Convert to fraction form
    8,107.40/11,172.92 = 5,865.48/x
  3. Step 3: Cross multiply
    8,107.40x = 11,172.92 × 5,865.48
  4. Step 4: Simplify right side
    8,107.40x = 65,534,538.80
  5. Step 5: Solve for x
    x = 65,534,538.80/8,107.40
  6. Step 6: Final answer
    x = 8,083.30

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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.