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Finding the Fourth Proportional to 11,881.68, 17,826.54 and 4,488.27

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Solution

The fourth proportional to 11,881.68, 17,826.54 and 4,488.27 is: 6,733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.68 : 17,826.54 = 4,488.27 : x
  2. Step 2: Convert to fraction form
    11,881.68/17,826.54 = 4,488.27/x
  3. Step 3: Cross multiply
    11,881.68x = 17,826.54 × 4,488.27
  4. Step 4: Simplify right side
    11,881.68x = 80,010,324.69
  5. Step 5: Solve for x
    x = 80,010,324.69/11,881.68
  6. Step 6: Final answer
    x = 6,733.92

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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.