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Finding the Fourth Proportional to 11,634.75, 16,056.06 and 6,329.61

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Solution

The fourth proportional to 11,634.75, 16,056.06 and 6,329.61 is: 8,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.75 : 16,056.06 = 6,329.61 : x
  2. Step 2: Convert to fraction form
    11,634.75/16,056.06 = 6,329.61/x
  3. Step 3: Cross multiply
    11,634.75x = 16,056.06 × 6,329.61
  4. Step 4: Simplify right side
    11,634.75x = 101,628,517.66
  5. Step 5: Solve for x
    x = 101,628,517.66/11,634.75
  6. Step 6: Final answer
    x = 8,734.92

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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.