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Finding the Fourth Proportional to 8,556.44, 11,811.49 and 5,200.34

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Solution

The fourth proportional to 8,556.44, 11,811.49 and 5,200.34 is: 7,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,556.44 : 11,811.49 = 5,200.34 : x
  2. Step 2: Convert to fraction form
    8,556.44/11,811.49 = 5,200.34/x
  3. Step 3: Cross multiply
    8,556.44x = 11,811.49 × 5,200.34
  4. Step 4: Simplify right side
    8,556.44x = 61,423,691.85
  5. Step 5: Solve for x
    x = 61,423,691.85/8,556.44
  6. Step 6: Final answer
    x = 7,178.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.