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Finding the Fourth Proportional to 11,998.44, 16,557.84 and 6,965.64

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Solution

The fourth proportional to 11,998.44, 16,557.84 and 6,965.64 is: 9,612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.44 : 16,557.84 = 6,965.64 : x
  2. Step 2: Convert to fraction form
    11,998.44/16,557.84 = 6,965.64/x
  3. Step 3: Cross multiply
    11,998.44x = 16,557.84 × 6,965.64
  4. Step 4: Simplify right side
    11,998.44x = 115,335,952.62
  5. Step 5: Solve for x
    x = 115,335,952.62/11,998.44
  6. Step 6: Final answer
    x = 9,612.58

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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.