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Finding the Fourth Proportional to 8,112.91, 12,165.01 and 4,162.54

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Solution

The fourth proportional to 8,112.91, 12,165.01 and 4,162.54 is: 6,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.91 : 12,165.01 = 4,162.54 : x
  2. Step 2: Convert to fraction form
    8,112.91/12,165.01 = 4,162.54/x
  3. Step 3: Cross multiply
    8,112.91x = 12,165.01 × 4,162.54
  4. Step 4: Simplify right side
    8,112.91x = 50,637,299.91
  5. Step 5: Solve for x
    x = 50,637,299.91/8,112.91
  6. Step 6: Final answer
    x = 6,241.57

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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.