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Finding the Fourth Proportional to 11,643.32, 16,067.22 and 6,337.82

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Solution

The fourth proportional to 11,643.32, 16,067.22 and 6,337.82 is: 8,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.32 : 16,067.22 = 6,337.82 : x
  2. Step 2: Convert to fraction form
    11,643.32/16,067.22 = 6,337.82/x
  3. Step 3: Cross multiply
    11,643.32x = 16,067.22 × 6,337.82
  4. Step 4: Simplify right side
    11,643.32x = 101,831,148.26
  5. Step 5: Solve for x
    x = 101,831,148.26/11,643.32
  6. Step 6: Final answer
    x = 8,745.89

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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.