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Finding the Fourth Proportional to 10,682.20, 16,005.72 and 3,658.34

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Solution

The fourth proportional to 10,682.20, 16,005.72 and 3,658.34 is: 5,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.20 : 16,005.72 = 3,658.34 : x
  2. Step 2: Convert to fraction form
    10,682.20/16,005.72 = 3,658.34/x
  3. Step 3: Cross multiply
    10,682.20x = 16,005.72 × 3,658.34
  4. Step 4: Simplify right side
    10,682.20x = 58,554,285.68
  5. Step 5: Solve for x
    x = 58,554,285.68/10,682.20
  6. Step 6: Final answer
    x = 5,481.48

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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.