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Finding the Fourth Proportional to 11,643.76, 16,067.88 and 6,338.57

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Solution

The fourth proportional to 11,643.76, 16,067.88 and 6,338.57 is: 8,746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.76 : 16,067.88 = 6,338.57 : x
  2. Step 2: Convert to fraction form
    11,643.76/16,067.88 = 6,338.57/x
  3. Step 3: Cross multiply
    11,643.76x = 16,067.88 × 6,338.57
  4. Step 4: Simplify right side
    11,643.76x = 101,847,301.79
  5. Step 5: Solve for x
    x = 101,847,301.79/11,643.76
  6. Step 6: Final answer
    x = 8,746.95

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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.