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Finding the Fourth Proportional to 11,138.35, 15,360.31 and 6,661.39

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Solution

The fourth proportional to 11,138.35, 15,360.31 and 6,661.39 is: 9,186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.35 : 15,360.31 = 6,661.39 : x
  2. Step 2: Convert to fraction form
    11,138.35/15,360.31 = 6,661.39/x
  3. Step 3: Cross multiply
    11,138.35x = 15,360.31 × 6,661.39
  4. Step 4: Simplify right side
    11,138.35x = 102,321,015.43
  5. Step 5: Solve for x
    x = 102,321,015.43/11,138.35
  6. Step 6: Final answer
    x = 9,186.37

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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.