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Finding the Fourth Proportional to 11,151, 15,388.38 and 6,183

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Solution

The fourth proportional to 11,151, 15,388.38 and 6,183 is: 8,532.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151 : 15,388.38 = 6,183 : x
  2. Step 2: Convert to fraction form
    11,151/15,388.38 = 6,183/x
  3. Step 3: Cross multiply
    11,151x = 15,388.38 × 6,183
  4. Step 4: Simplify right side
    11,151x = 95,146,353.54
  5. Step 5: Solve for x
    x = 95,146,353.54/11,151
  6. Step 6: Final answer
    x = 8,532.54

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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.