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Finding the Fourth Proportional to 11,643.06, 16,067.82 and 6,338.08

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Solution

The fourth proportional to 11,643.06, 16,067.82 and 6,338.08 is: 8,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.06 : 16,067.82 = 6,338.08 : x
  2. Step 2: Convert to fraction form
    11,643.06/16,067.82 = 6,338.08/x
  3. Step 3: Cross multiply
    11,643.06x = 16,067.82 × 6,338.08
  4. Step 4: Simplify right side
    11,643.06x = 101,839,128.59
  5. Step 5: Solve for x
    x = 101,839,128.59/11,643.06
  6. Step 6: Final answer
    x = 8,746.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.