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Finding the Fourth Proportional to 11,965.56, 16,511.10 and 6,659.64

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Solution

The fourth proportional to 11,965.56, 16,511.10 and 6,659.64 is: 9,189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.56 : 16,511.10 = 6,659.64 : x
  2. Step 2: Convert to fraction form
    11,965.56/16,511.10 = 6,659.64/x
  3. Step 3: Cross multiply
    11,965.56x = 16,511.10 × 6,659.64
  4. Step 4: Simplify right side
    11,965.56x = 109,957,982.00
  5. Step 5: Solve for x
    x = 109,957,982.00/11,965.56
  6. Step 6: Final answer
    x = 9,189.54

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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.