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Finding the Fourth Proportional to 11,676.20, 16,118.34 and 6,962.12

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Solution

The fourth proportional to 11,676.20, 16,118.34 and 6,962.12 is: 9,610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.20 : 16,118.34 = 6,962.12 : x
  2. Step 2: Convert to fraction form
    11,676.20/16,118.34 = 6,962.12/x
  3. Step 3: Cross multiply
    11,676.20x = 16,118.34 × 6,962.12
  4. Step 4: Simplify right side
    11,676.20x = 112,217,817.28
  5. Step 5: Solve for x
    x = 112,217,817.28/11,676.20
  6. Step 6: Final answer
    x = 9,610.82

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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.