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Finding the Fourth Proportional to 11,797.26, 16,279.38 and 7,016.94

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Solution

The fourth proportional to 11,797.26, 16,279.38 and 7,016.94 is: 9,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.26 : 16,279.38 = 7,016.94 : x
  2. Step 2: Convert to fraction form
    11,797.26/16,279.38 = 7,016.94/x
  3. Step 3: Cross multiply
    11,797.26x = 16,279.38 × 7,016.94
  4. Step 4: Simplify right side
    11,797.26x = 114,231,432.70
  5. Step 5: Solve for x
    x = 114,231,432.70/11,797.26
  6. Step 6: Final answer
    x = 9,682.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.