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Finding the Fourth Proportional to 8,092.94, 12,121.17 and 4,145.40

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Solution

The fourth proportional to 8,092.94, 12,121.17 and 4,145.40 is: 6,208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.94 : 12,121.17 = 4,145.40 : x
  2. Step 2: Convert to fraction form
    8,092.94/12,121.17 = 4,145.40/x
  3. Step 3: Cross multiply
    8,092.94x = 12,121.17 × 4,145.40
  4. Step 4: Simplify right side
    8,092.94x = 50,247,098.12
  5. Step 5: Solve for x
    x = 50,247,098.12/8,092.94
  6. Step 6: Final answer
    x = 6,208.76

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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.