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Finding the Fourth Proportional to 11,102.69, 15,322.07 and 6,067.39

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Solution

The fourth proportional to 11,102.69, 15,322.07 and 6,067.39 is: 8,373.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.69 : 15,322.07 = 6,067.39 : x
  2. Step 2: Convert to fraction form
    11,102.69/15,322.07 = 6,067.39/x
  3. Step 3: Cross multiply
    11,102.69x = 15,322.07 × 6,067.39
  4. Step 4: Simplify right side
    11,102.69x = 92,964,867.35
  5. Step 5: Solve for x
    x = 92,964,867.35/11,102.69
  6. Step 6: Final answer
    x = 8,373.18

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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.