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Finding the Fourth Proportional to 11,634.64, 16,055.92 and 6,329.44

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Solution

The fourth proportional to 11,634.64, 16,055.92 and 6,329.44 is: 8,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.64 : 16,055.92 = 6,329.44 : x
  2. Step 2: Convert to fraction form
    11,634.64/16,055.92 = 6,329.44/x
  3. Step 3: Cross multiply
    11,634.64x = 16,055.92 × 6,329.44
  4. Step 4: Simplify right side
    11,634.64x = 101,625,010.27
  5. Step 5: Solve for x
    x = 101,625,010.27/11,634.64
  6. Step 6: Final answer
    x = 8,734.70

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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.