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Finding the Fourth Proportional to 11,964.42, 16,510.55 and 6,659.12

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Solution

The fourth proportional to 11,964.42, 16,510.55 and 6,659.12 is: 9,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.42 : 16,510.55 = 6,659.12 : x
  2. Step 2: Convert to fraction form
    11,964.42/16,510.55 = 6,659.12/x
  3. Step 3: Cross multiply
    11,964.42x = 16,510.55 × 6,659.12
  4. Step 4: Simplify right side
    11,964.42x = 109,945,617.87
  5. Step 5: Solve for x
    x = 109,945,617.87/11,964.42
  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.