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Finding the Fourth Proportional to 11,754.85, 16,221.69 and 6,449.68

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Solution

The fourth proportional to 11,754.85, 16,221.69 and 6,449.68 is: 8,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.85 : 16,221.69 = 6,449.68 : x
  2. Step 2: Convert to fraction form
    11,754.85/16,221.69 = 6,449.68/x
  3. Step 3: Cross multiply
    11,754.85x = 16,221.69 × 6,449.68
  4. Step 4: Simplify right side
    11,754.85x = 104,624,709.56
  5. Step 5: Solve for x
    x = 104,624,709.56/11,754.85
  6. Step 6: Final answer
    x = 8,900.56

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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.