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Finding the Fourth Proportional to 8,112.28, 12,169 and 2,846.68

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Solution

The fourth proportional to 8,112.28, 12,169 and 2,846.68 is: 4,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.28 : 12,169 = 2,846.68 : x
  2. Step 2: Convert to fraction form
    8,112.28/12,169 = 2,846.68/x
  3. Step 3: Cross multiply
    8,112.28x = 12,169 × 2,846.68
  4. Step 4: Simplify right side
    8,112.28x = 34,641,248.92
  5. Step 5: Solve for x
    x = 34,641,248.92/8,112.28
  6. Step 6: Final answer
    x = 4,270.22

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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.