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Finding the Fourth Proportional to 11,884, 17,826.96 and 3,676

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Solution

The fourth proportional to 11,884, 17,826.96 and 3,676 is: 5,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884 : 17,826.96 = 3,676 : x
  2. Step 2: Convert to fraction form
    11,884/17,826.96 = 3,676/x
  3. Step 3: Cross multiply
    11,884x = 17,826.96 × 3,676
  4. Step 4: Simplify right side
    11,884x = 65,531,904.96
  5. Step 5: Solve for x
    x = 65,531,904.96/11,884
  6. Step 6: Final answer
    x = 5,514.30

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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.