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Finding the Fourth Proportional to 11,310.80, 15,614.25 and 7,540.25

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Solution

The fourth proportional to 11,310.80, 15,614.25 and 7,540.25 is: 10,409.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.80 : 15,614.25 = 7,540.25 : x
  2. Step 2: Convert to fraction form
    11,310.80/15,614.25 = 7,540.25/x
  3. Step 3: Cross multiply
    11,310.80x = 15,614.25 × 7,540.25
  4. Step 4: Simplify right side
    11,310.80x = 117,735,348.56
  5. Step 5: Solve for x
    x = 117,735,348.56/11,310.80
  6. Step 6: Final answer
    x = 10,409.11

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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.