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Finding the Fourth Proportional to 11,964.70, 16,511.61 and 6,659.20

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Solution

The fourth proportional to 11,964.70, 16,511.61 and 6,659.20 is: 9,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.70 : 16,511.61 = 6,659.20 : x
  2. Step 2: Convert to fraction form
    11,964.70/16,511.61 = 6,659.20/x
  3. Step 3: Cross multiply
    11,964.70x = 16,511.61 × 6,659.20
  4. Step 4: Simplify right side
    11,964.70x = 109,954,113.31
  5. Step 5: Solve for x
    x = 109,954,113.31/11,964.70
  6. Step 6: Final answer
    x = 9,189.88

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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.