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Finding the Fourth Proportional to 11,687.46, 17,530.87 and 3,896.42

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Solution

The fourth proportional to 11,687.46, 17,530.87 and 3,896.42 is: 5,844.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.46 : 17,530.87 = 3,896.42 : x
  2. Step 2: Convert to fraction form
    11,687.46/17,530.87 = 3,896.42/x
  3. Step 3: Cross multiply
    11,687.46x = 17,530.87 × 3,896.42
  4. Step 4: Simplify right side
    11,687.46x = 68,307,632.49
  5. Step 5: Solve for x
    x = 68,307,632.49/11,687.46
  6. Step 6: Final answer
    x = 5,844.52

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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.