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Finding the Fourth Proportional to 11,517.49, 15,890.07 and 7,540.80

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Solution

The fourth proportional to 11,517.49, 15,890.07 and 7,540.80 is: 10,403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.49 : 15,890.07 = 7,540.80 : x
  2. Step 2: Convert to fraction form
    11,517.49/15,890.07 = 7,540.80/x
  3. Step 3: Cross multiply
    11,517.49x = 15,890.07 × 7,540.80
  4. Step 4: Simplify right side
    11,517.49x = 119,823,839.86
  5. Step 5: Solve for x
    x = 119,823,839.86/11,517.49
  6. Step 6: Final answer
    x = 10,403.64

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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.