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Finding the Fourth Proportional to 11,009, 15,192.66 and 6,041

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Solution

The fourth proportional to 11,009, 15,192.66 and 6,041 is: 8,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009 : 15,192.66 = 6,041 : x
  2. Step 2: Convert to fraction form
    11,009/15,192.66 = 6,041/x
  3. Step 3: Cross multiply
    11,009x = 15,192.66 × 6,041
  4. Step 4: Simplify right side
    11,009x = 91,778,859.06
  5. Step 5: Solve for x
    x = 91,778,859.06/11,009
  6. Step 6: Final answer
    x = 8,336.71

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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.