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Finding the Fourth Proportional to 8,100.02, 12,145.01 and 3,163.86

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Solution

The fourth proportional to 8,100.02, 12,145.01 and 3,163.86 is: 4,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100.02 : 12,145.01 = 3,163.86 : x
  2. Step 2: Convert to fraction form
    8,100.02/12,145.01 = 3,163.86/x
  3. Step 3: Cross multiply
    8,100.02x = 12,145.01 × 3,163.86
  4. Step 4: Simplify right side
    8,100.02x = 38,425,095.52
  5. Step 5: Solve for x
    x = 38,425,095.52/8,100.02
  6. Step 6: Final answer
    x = 4,743.83

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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.