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Finding the Fourth Proportional to 8,112.42, 12,162.99 and 3,182.55

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Solution

The fourth proportional to 8,112.42, 12,162.99 and 3,182.55 is: 4,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.42 : 12,162.99 = 3,182.55 : x
  2. Step 2: Convert to fraction form
    8,112.42/12,162.99 = 3,182.55/x
  3. Step 3: Cross multiply
    8,112.42x = 12,162.99 × 3,182.55
  4. Step 4: Simplify right side
    8,112.42x = 38,709,323.82
  5. Step 5: Solve for x
    x = 38,709,323.82/8,112.42
  6. Step 6: Final answer
    x = 4,771.61

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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.