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Finding the Fourth Proportional to 11,754.72, 16,221.44 and 6,449.60

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Solution

The fourth proportional to 11,754.72, 16,221.44 and 6,449.60 is: 8,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.72 : 16,221.44 = 6,449.60 : x
  2. Step 2: Convert to fraction form
    11,754.72/16,221.44 = 6,449.60/x
  3. Step 3: Cross multiply
    11,754.72x = 16,221.44 × 6,449.60
  4. Step 4: Simplify right side
    11,754.72x = 104,621,799.42
  5. Step 5: Solve for x
    x = 104,621,799.42/11,754.72
  6. Step 6: Final answer
    x = 8,900.41

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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.