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Finding the Fourth Proportional to 11,057.08, 15,232.81 and 7,694.12

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Solution

The fourth proportional to 11,057.08, 15,232.81 and 7,694.12 is: 10,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.08 : 15,232.81 = 7,694.12 : x
  2. Step 2: Convert to fraction form
    11,057.08/15,232.81 = 7,694.12/x
  3. Step 3: Cross multiply
    11,057.08x = 15,232.81 × 7,694.12
  4. Step 4: Simplify right side
    11,057.08x = 117,202,953.44
  5. Step 5: Solve for x
    x = 117,202,953.44/11,057.08
  6. Step 6: Final answer
    x = 10,599.82

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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.