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Finding the Fourth Proportional to 8,016.49, 11,960.35 and 7,187.05

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Solution

The fourth proportional to 8,016.49, 11,960.35 and 7,187.05 is: 10,722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016.49 : 11,960.35 = 7,187.05 : x
  2. Step 2: Convert to fraction form
    8,016.49/11,960.35 = 7,187.05/x
  3. Step 3: Cross multiply
    8,016.49x = 11,960.35 × 7,187.05
  4. Step 4: Simplify right side
    8,016.49x = 85,959,651.44
  5. Step 5: Solve for x
    x = 85,959,651.44/8,016.49
  6. Step 6: Final answer
    x = 10,722.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.