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Finding the Fourth Proportional to 11,766.87, 17,634.27 and 6,494.02

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Solution

The fourth proportional to 11,766.87, 17,634.27 and 6,494.02 is: 9,732.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.87 : 17,634.27 = 6,494.02 : x
  2. Step 2: Convert to fraction form
    11,766.87/17,634.27 = 6,494.02/x
  3. Step 3: Cross multiply
    11,766.87x = 17,634.27 × 6,494.02
  4. Step 4: Simplify right side
    11,766.87x = 114,517,302.07
  5. Step 5: Solve for x
    x = 114,517,302.07/11,766.87
  6. Step 6: Final answer
    x = 9,732.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.