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Finding the Fourth Proportional to 11,147.92, 15,383.92 and 6,112

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Solution

The fourth proportional to 11,147.92, 15,383.92 and 6,112 is: 8,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.92 : 15,383.92 = 6,112 : x
  2. Step 2: Convert to fraction form
    11,147.92/15,383.92 = 6,112/x
  3. Step 3: Cross multiply
    11,147.92x = 15,383.92 × 6,112
  4. Step 4: Simplify right side
    11,147.92x = 94,026,519.04
  5. Step 5: Solve for x
    x = 94,026,519.04/11,147.92
  6. Step 6: Final answer
    x = 8,434.45

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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.