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Finding the Fourth Proportional to 11,122.32, 15,348.81 and 6,086.46

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Solution

The fourth proportional to 11,122.32, 15,348.81 and 6,086.46 is: 8,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122.32 : 15,348.81 = 6,086.46 : x
  2. Step 2: Convert to fraction form
    11,122.32/15,348.81 = 6,086.46/x
  3. Step 3: Cross multiply
    11,122.32x = 15,348.81 × 6,086.46
  4. Step 4: Simplify right side
    11,122.32x = 93,419,918.11
  5. Step 5: Solve for x
    x = 93,419,918.11/11,122.32
  6. Step 6: Final answer
    x = 8,399.32

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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.