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Finding the Fourth Proportional to 11,753.94, 16,211.38 and 8,168.85

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Solution

The fourth proportional to 11,753.94, 16,211.38 and 8,168.85 is: 11,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.94 : 16,211.38 = 8,168.85 : x
  2. Step 2: Convert to fraction form
    11,753.94/16,211.38 = 8,168.85/x
  3. Step 3: Cross multiply
    11,753.94x = 16,211.38 × 8,168.85
  4. Step 4: Simplify right side
    11,753.94x = 132,428,331.51
  5. Step 5: Solve for x
    x = 132,428,331.51/11,753.94
  6. Step 6: Final answer
    x = 11,266.72

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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.