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Finding the Fourth Proportional to 10,709.12, 16,060.44 and 3,782

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Solution

The fourth proportional to 10,709.12, 16,060.44 and 3,782 is: 5,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.12 : 16,060.44 = 3,782 : x
  2. Step 2: Convert to fraction form
    10,709.12/16,060.44 = 3,782/x
  3. Step 3: Cross multiply
    10,709.12x = 16,060.44 × 3,782
  4. Step 4: Simplify right side
    10,709.12x = 60,740,584.08
  5. Step 5: Solve for x
    x = 60,740,584.08/10,709.12
  6. Step 6: Final answer
    x = 5,671.86

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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.