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Finding the Fourth Proportional to 10,766.24, 14,853.25 and 7,940.29

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Solution

The fourth proportional to 10,766.24, 14,853.25 and 7,940.29 is: 10,954.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.24 : 14,853.25 = 7,940.29 : x
  2. Step 2: Convert to fraction form
    10,766.24/14,853.25 = 7,940.29/x
  3. Step 3: Cross multiply
    10,766.24x = 14,853.25 × 7,940.29
  4. Step 4: Simplify right side
    10,766.24x = 117,939,112.44
  5. Step 5: Solve for x
    x = 117,939,112.44/10,766.24
  6. Step 6: Final answer
    x = 10,954.53

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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.