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Finding the Fourth Proportional to 11,540.97, 15,915.96 and 7,564.27

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Solution

The fourth proportional to 11,540.97, 15,915.96 and 7,564.27 is: 10,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.97 : 15,915.96 = 7,564.27 : x
  2. Step 2: Convert to fraction form
    11,540.97/15,915.96 = 7,564.27/x
  3. Step 3: Cross multiply
    11,540.97x = 15,915.96 × 7,564.27
  4. Step 4: Simplify right side
    11,540.97x = 120,392,674.84
  5. Step 5: Solve for x
    x = 120,392,674.84/11,540.97
  6. Step 6: Final answer
    x = 10,431.77

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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.