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Finding the Fourth Proportional to 8,123.93, 12,163.40 and 4,166.65

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Solution

The fourth proportional to 8,123.93, 12,163.40 and 4,166.65 is: 6,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.93 : 12,163.40 = 4,166.65 : x
  2. Step 2: Convert to fraction form
    8,123.93/12,163.40 = 4,166.65/x
  3. Step 3: Cross multiply
    8,123.93x = 12,163.40 × 4,166.65
  4. Step 4: Simplify right side
    8,123.93x = 50,680,630.61
  5. Step 5: Solve for x
    x = 50,680,630.61/8,123.93
  6. Step 6: Final answer
    x = 6,238.44

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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.