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Finding the Fourth Proportional to 11,096.44, 15,294.82 and 7,867.32

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Solution

The fourth proportional to 11,096.44, 15,294.82 and 7,867.32 is: 10,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.44 : 15,294.82 = 7,867.32 : x
  2. Step 2: Convert to fraction form
    11,096.44/15,294.82 = 7,867.32/x
  3. Step 3: Cross multiply
    11,096.44x = 15,294.82 × 7,867.32
  4. Step 4: Simplify right side
    11,096.44x = 120,329,243.28
  5. Step 5: Solve for x
    x = 120,329,243.28/11,096.44
  6. Step 6: Final answer
    x = 10,843.95

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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.