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Finding the Fourth Proportional to 11,927.68, 17,882.11 and 7,535.88

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Solution

The fourth proportional to 11,927.68, 17,882.11 and 7,535.88 is: 11,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,927.68 : 17,882.11 = 7,535.88 : x
  2. Step 2: Convert to fraction form
    11,927.68/17,882.11 = 7,535.88/x
  3. Step 3: Cross multiply
    11,927.68x = 17,882.11 × 7,535.88
  4. Step 4: Simplify right side
    11,927.68x = 134,757,435.11
  5. Step 5: Solve for x
    x = 134,757,435.11/11,927.68
  6. Step 6: Final answer
    x = 11,297.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.