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Finding the Fourth Proportional to 11,874.16, 17,811.26 and 4,082.97

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Solution

The fourth proportional to 11,874.16, 17,811.26 and 4,082.97 is: 6,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.16 : 17,811.26 = 4,082.97 : x
  2. Step 2: Convert to fraction form
    11,874.16/17,811.26 = 4,082.97/x
  3. Step 3: Cross multiply
    11,874.16x = 17,811.26 × 4,082.97
  4. Step 4: Simplify right side
    11,874.16x = 72,722,840.24
  5. Step 5: Solve for x
    x = 72,722,840.24/11,874.16
  6. Step 6: Final answer
    x = 6,124.46

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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.