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Finding the Fourth Proportional to 11,646.24, 17,472.24 and 3,855.84

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Solution

The fourth proportional to 11,646.24, 17,472.24 and 3,855.84 is: 5,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.24 : 17,472.24 = 3,855.84 : x
  2. Step 2: Convert to fraction form
    11,646.24/17,472.24 = 3,855.84/x
  3. Step 3: Cross multiply
    11,646.24x = 17,472.24 × 3,855.84
  4. Step 4: Simplify right side
    11,646.24x = 67,370,161.88
  5. Step 5: Solve for x
    x = 67,370,161.88/11,646.24
  6. Step 6: Final answer
    x = 5,784.71

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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.