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Finding the Fourth Proportional to 11,176.84, 16,767.96 and 7,896.34

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Solution

The fourth proportional to 11,176.84, 16,767.96 and 7,896.34 is: 11,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.84 : 16,767.96 = 7,896.34 : x
  2. Step 2: Convert to fraction form
    11,176.84/16,767.96 = 7,896.34/x
  3. Step 3: Cross multiply
    11,176.84x = 16,767.96 × 7,896.34
  4. Step 4: Simplify right side
    11,176.84x = 132,405,513.27
  5. Step 5: Solve for x
    x = 132,405,513.27/11,176.84
  6. Step 6: Final answer
    x = 11,846.42

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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.