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Finding the Fourth Proportional to 8,135.30, 12,185.94 and 6,745.34

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Solution

The fourth proportional to 8,135.30, 12,185.94 and 6,745.34 is: 10,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.30 : 12,185.94 = 6,745.34 : x
  2. Step 2: Convert to fraction form
    8,135.30/12,185.94 = 6,745.34/x
  3. Step 3: Cross multiply
    8,135.30x = 12,185.94 × 6,745.34
  4. Step 4: Simplify right side
    8,135.30x = 82,198,308.52
  5. Step 5: Solve for x
    x = 82,198,308.52/8,135.30
  6. Step 6: Final answer
    x = 10,103.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.