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Finding the Fourth Proportional to 8,110.46, 12,163.26 and 4,212.74

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Solution

The fourth proportional to 8,110.46, 12,163.26 and 4,212.74 is: 6,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.46 : 12,163.26 = 4,212.74 : x
  2. Step 2: Convert to fraction form
    8,110.46/12,163.26 = 4,212.74/x
  3. Step 3: Cross multiply
    8,110.46x = 12,163.26 × 4,212.74
  4. Step 4: Simplify right side
    8,110.46x = 51,240,698.14
  5. Step 5: Solve for x
    x = 51,240,698.14/8,110.46
  6. Step 6: Final answer
    x = 6,317.85

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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.