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Finding the Fourth Proportional to 11,754.78, 16,221.90 and 6,449.91

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Solution

The fourth proportional to 11,754.78, 16,221.90 and 6,449.91 is: 8,901.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.78 : 16,221.90 = 6,449.91 : x
  2. Step 2: Convert to fraction form
    11,754.78/16,221.90 = 6,449.91/x
  3. Step 3: Cross multiply
    11,754.78x = 16,221.90 × 6,449.91
  4. Step 4: Simplify right side
    11,754.78x = 104,629,795.03
  5. Step 5: Solve for x
    x = 104,629,795.03/11,754.78
  6. Step 6: Final answer
    x = 8,901.04

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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.