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Finding the Fourth Proportional to 27,483.27, 41,221.17 and 7,763.42

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Solution

The fourth proportional to 27,483.27, 41,221.17 and 7,763.42 is: 11,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,483.27 : 41,221.17 = 7,763.42 : x
  2. Step 2: Convert to fraction form
    27,483.27/41,221.17 = 7,763.42/x
  3. Step 3: Cross multiply
    27,483.27x = 41,221.17 × 7,763.42
  4. Step 4: Simplify right side
    27,483.27x = 320,017,049.50
  5. Step 5: Solve for x
    x = 320,017,049.50/27,483.27
  6. Step 6: Final answer
    x = 11,644.07

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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.