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Finding the Fourth Proportional to 11,016.88, 15,215.92 and 7,256.86

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Solution

The fourth proportional to 11,016.88, 15,215.92 and 7,256.86 is: 10,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,016.88 : 15,215.92 = 7,256.86 : x
  2. Step 2: Convert to fraction form
    11,016.88/15,215.92 = 7,256.86/x
  3. Step 3: Cross multiply
    11,016.88x = 15,215.92 × 7,256.86
  4. Step 4: Simplify right side
    11,016.88x = 110,419,801.21
  5. Step 5: Solve for x
    x = 110,419,801.21/11,016.88
  6. Step 6: Final answer
    x = 10,022.78

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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.