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Finding the Fourth Proportional to 11,121.92, 15,348.06 and 6,086

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Solution

The fourth proportional to 11,121.92, 15,348.06 and 6,086 is: 8,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,121.92 : 15,348.06 = 6,086 : x
  2. Step 2: Convert to fraction form
    11,121.92/15,348.06 = 6,086/x
  3. Step 3: Cross multiply
    11,121.92x = 15,348.06 × 6,086
  4. Step 4: Simplify right side
    11,121.92x = 93,408,293.16
  5. Step 5: Solve for x
    x = 93,408,293.16/11,121.92
  6. Step 6: Final answer
    x = 8,398.58

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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.