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Finding the Fourth Proportional to 11,754.52, 16,221.57 and 6,449.68

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Solution

The fourth proportional to 11,754.52, 16,221.57 and 6,449.68 is: 8,900.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.52 : 16,221.57 = 6,449.68 : x
  2. Step 2: Convert to fraction form
    11,754.52/16,221.57 = 6,449.68/x
  3. Step 3: Cross multiply
    11,754.52x = 16,221.57 × 6,449.68
  4. Step 4: Simplify right side
    11,754.52x = 104,623,840.44
  5. Step 5: Solve for x
    x = 104,623,840.44/11,754.52
  6. Step 6: Final answer
    x = 8,900.73

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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.