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Finding the Fourth Proportional to 11,953.77, 17,931.21 and 3,634.98

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Solution

The fourth proportional to 11,953.77, 17,931.21 and 3,634.98 is: 5,452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.77 : 17,931.21 = 3,634.98 : x
  2. Step 2: Convert to fraction form
    11,953.77/17,931.21 = 3,634.98/x
  3. Step 3: Cross multiply
    11,953.77x = 17,931.21 × 3,634.98
  4. Step 4: Simplify right side
    11,953.77x = 65,179,589.73
  5. Step 5: Solve for x
    x = 65,179,589.73/11,953.77
  6. Step 6: Final answer
    x = 5,452.64

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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.