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Finding the Fourth Proportional to 8,016.33, 12,025.17 and 2,094

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Solution

The fourth proportional to 8,016.33, 12,025.17 and 2,094 is: 3,141.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016.33 : 12,025.17 = 2,094 : x
  2. Step 2: Convert to fraction form
    8,016.33/12,025.17 = 2,094/x
  3. Step 3: Cross multiply
    8,016.33x = 12,025.17 × 2,094
  4. Step 4: Simplify right side
    8,016.33x = 25,180,705.98
  5. Step 5: Solve for x
    x = 25,180,705.98/8,016.33
  6. Step 6: Final answer
    x = 3,141.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.