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Finding the Fourth Proportional to 11,896.84, 16,421.02 and 7,181.44

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Solution

The fourth proportional to 11,896.84, 16,421.02 and 7,181.44 is: 9,912.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.84 : 16,421.02 = 7,181.44 : x
  2. Step 2: Convert to fraction form
    11,896.84/16,421.02 = 7,181.44/x
  3. Step 3: Cross multiply
    11,896.84x = 16,421.02 × 7,181.44
  4. Step 4: Simplify right side
    11,896.84x = 117,926,569.87
  5. Step 5: Solve for x
    x = 117,926,569.87/11,896.84
  6. Step 6: Final answer
    x = 9,912.43

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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.