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Finding the Fourth Proportional to 11,965.32, 16,508.41 and 6,659.21

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Solution

The fourth proportional to 11,965.32, 16,508.41 and 6,659.21 is: 9,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.32 : 16,508.41 = 6,659.21 : x
  2. Step 2: Convert to fraction form
    11,965.32/16,508.41 = 6,659.21/x
  3. Step 3: Cross multiply
    11,965.32x = 16,508.41 × 6,659.21
  4. Step 4: Simplify right side
    11,965.32x = 109,932,993.58
  5. Step 5: Solve for x
    x = 109,932,993.58/11,965.32
  6. Step 6: Final answer
    x = 9,187.64

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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.