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Finding the Fourth Proportional to 11,964.44, 16,510.56 and 6,659.12

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Solution

The fourth proportional to 11,964.44, 16,510.56 and 6,659.12 is: 9,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.44 : 16,510.56 = 6,659.12 : x
  2. Step 2: Convert to fraction form
    11,964.44/16,510.56 = 6,659.12/x
  3. Step 3: Cross multiply
    11,964.44x = 16,510.56 × 6,659.12
  4. Step 4: Simplify right side
    11,964.44x = 109,945,800.31
  5. Step 5: Solve for x
    x = 109,945,800.31/11,964.44
  6. Step 6: Final answer
    x = 9,189.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.