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Finding the Fourth Proportional to 11,643.28, 16,067.73 and 6,338.14

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Solution

The fourth proportional to 11,643.28, 16,067.73 and 6,338.14 is: 8,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.28 : 16,067.73 = 6,338.14 : x
  2. Step 2: Convert to fraction form
    11,643.28/16,067.73 = 6,338.14/x
  3. Step 3: Cross multiply
    11,643.28x = 16,067.73 × 6,338.14
  4. Step 4: Simplify right side
    11,643.28x = 101,839,482.05
  5. Step 5: Solve for x
    x = 101,839,482.05/11,643.28
  6. Step 6: Final answer
    x = 8,746.63

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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.