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Finding the Fourth Proportional to 10,766.26, 14,853.21 and 7,940.42

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Solution

The fourth proportional to 10,766.26, 14,853.21 and 7,940.42 is: 10,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.26 : 14,853.21 = 7,940.42 : x
  2. Step 2: Convert to fraction form
    10,766.26/14,853.21 = 7,940.42/x
  3. Step 3: Cross multiply
    10,766.26x = 14,853.21 × 7,940.42
  4. Step 4: Simplify right side
    10,766.26x = 117,940,651.48
  5. Step 5: Solve for x
    x = 117,940,651.48/10,766.26
  6. Step 6: Final answer
    x = 10,954.66

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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.