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Finding the Fourth Proportional to 11,643.20, 16,067.11 and 6,338.03

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Solution

The fourth proportional to 11,643.20, 16,067.11 and 6,338.03 is: 8,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.20 : 16,067.11 = 6,338.03 : x
  2. Step 2: Convert to fraction form
    11,643.20/16,067.11 = 6,338.03/x
  3. Step 3: Cross multiply
    11,643.20x = 16,067.11 × 6,338.03
  4. Step 4: Simplify right side
    11,643.20x = 101,833,793.50
  5. Step 5: Solve for x
    x = 101,833,793.50/11,643.20
  6. Step 6: Final answer
    x = 8,746.21

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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.