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Finding the Fourth Proportional to 11,161, 15,402.18 and 6,193

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Solution

The fourth proportional to 11,161, 15,402.18 and 6,193 is: 8,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161 : 15,402.18 = 6,193 : x
  2. Step 2: Convert to fraction form
    11,161/15,402.18 = 6,193/x
  3. Step 3: Cross multiply
    11,161x = 15,402.18 × 6,193
  4. Step 4: Simplify right side
    11,161x = 95,385,700.74
  5. Step 5: Solve for x
    x = 95,385,700.74/11,161
  6. Step 6: Final answer
    x = 8,546.34

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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.