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Finding the Fourth Proportional to 11,676.96, 16,118.36 and 6,896.92

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Solution

The fourth proportional to 11,676.96, 16,118.36 and 6,896.92 is: 9,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.96 : 16,118.36 = 6,896.92 : x
  2. Step 2: Convert to fraction form
    11,676.96/16,118.36 = 6,896.92/x
  3. Step 3: Cross multiply
    11,676.96x = 16,118.36 × 6,896.92
  4. Step 4: Simplify right side
    11,676.96x = 111,167,039.45
  5. Step 5: Solve for x
    x = 111,167,039.45/11,676.96
  6. Step 6: Final answer
    x = 9,520.20

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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.