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Finding the Fourth Proportional to 11,953.62, 17,931.24 and 4,163.04

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Solution

The fourth proportional to 11,953.62, 17,931.24 and 4,163.04 is: 6,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.62 : 17,931.24 = 4,163.04 : x
  2. Step 2: Convert to fraction form
    11,953.62/17,931.24 = 4,163.04/x
  3. Step 3: Cross multiply
    11,953.62x = 17,931.24 × 4,163.04
  4. Step 4: Simplify right side
    11,953.62x = 74,648,469.37
  5. Step 5: Solve for x
    x = 74,648,469.37/11,953.62
  6. Step 6: Final answer
    x = 6,244.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.