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Finding the Fourth Proportional to 8,059.23, 12,092.49 and 4,166.37

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Solution

The fourth proportional to 8,059.23, 12,092.49 and 4,166.37 is: 6,251.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059.23 : 12,092.49 = 4,166.37 : x
  2. Step 2: Convert to fraction form
    8,059.23/12,092.49 = 4,166.37/x
  3. Step 3: Cross multiply
    8,059.23x = 12,092.49 × 4,166.37
  4. Step 4: Simplify right side
    8,059.23x = 50,381,787.56
  5. Step 5: Solve for x
    x = 50,381,787.56/8,059.23
  6. Step 6: Final answer
    x = 6,251.44

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Why These Related Problems?

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