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Finding the Fourth Proportional to 11,921.58, 16,449.89 and 6,616.28

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Solution

The fourth proportional to 11,921.58, 16,449.89 and 6,616.28 is: 9,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921.58 : 16,449.89 = 6,616.28 : x
  2. Step 2: Convert to fraction form
    11,921.58/16,449.89 = 6,616.28/x
  3. Step 3: Cross multiply
    11,921.58x = 16,449.89 × 6,616.28
  4. Step 4: Simplify right side
    11,921.58x = 108,837,086.25
  5. Step 5: Solve for x
    x = 108,837,086.25/11,921.58
  6. Step 6: Final answer
    x = 9,129.42

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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.