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Finding the Fourth Proportional to 11,650.96, 16,076.52 and 6,682

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Solution

The fourth proportional to 11,650.96, 16,076.52 and 6,682 is: 9,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.96 : 16,076.52 = 6,682 : x
  2. Step 2: Convert to fraction form
    11,650.96/16,076.52 = 6,682/x
  3. Step 3: Cross multiply
    11,650.96x = 16,076.52 × 6,682
  4. Step 4: Simplify right side
    11,650.96x = 107,423,306.64
  5. Step 5: Solve for x
    x = 107,423,306.64/11,650.96
  6. Step 6: Final answer
    x = 9,220.12

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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.