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Finding the Fourth Proportional to 10,682.68, 16,022.70 and 4,438.84

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Solution

The fourth proportional to 10,682.68, 16,022.70 and 4,438.84 is: 6,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.68 : 16,022.70 = 4,438.84 : x
  2. Step 2: Convert to fraction form
    10,682.68/16,022.70 = 4,438.84/x
  3. Step 3: Cross multiply
    10,682.68x = 16,022.70 × 4,438.84
  4. Step 4: Simplify right side
    10,682.68x = 71,122,201.67
  5. Step 5: Solve for x
    x = 71,122,201.67/10,682.68
  6. Step 6: Final answer
    x = 6,657.71

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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.