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Finding the Fourth Proportional to 11,643.39, 16,067.48 and 6,338.12

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Solution

The fourth proportional to 11,643.39, 16,067.48 and 6,338.12 is: 8,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.39 : 16,067.48 = 6,338.12 : x
  2. Step 2: Convert to fraction form
    11,643.39/16,067.48 = 6,338.12/x
  3. Step 3: Cross multiply
    11,643.39x = 16,067.48 × 6,338.12
  4. Step 4: Simplify right side
    11,643.39x = 101,837,504.31
  5. Step 5: Solve for x
    x = 101,837,504.31/11,643.39
  6. Step 6: Final answer
    x = 8,746.38

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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.