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Finding the Fourth Proportional to 8,103.68, 11,172.24 and 6,078.48

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Solution

The fourth proportional to 8,103.68, 11,172.24 and 6,078.48 is: 8,380.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.68 : 11,172.24 = 6,078.48 : x
  2. Step 2: Convert to fraction form
    8,103.68/11,172.24 = 6,078.48/x
  3. Step 3: Cross multiply
    8,103.68x = 11,172.24 × 6,078.48
  4. Step 4: Simplify right side
    8,103.68x = 67,910,237.40
  5. Step 5: Solve for x
    x = 67,910,237.40/8,103.68
  6. Step 6: Final answer
    x = 8,380.18

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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.