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Finding the Fourth Proportional to 11,884.76, 16,393.79 and 7,634.39

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Solution

The fourth proportional to 11,884.76, 16,393.79 and 7,634.39 is: 10,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.76 : 16,393.79 = 7,634.39 : x
  2. Step 2: Convert to fraction form
    11,884.76/16,393.79 = 7,634.39/x
  3. Step 3: Cross multiply
    11,884.76x = 16,393.79 × 7,634.39
  4. Step 4: Simplify right side
    11,884.76x = 125,156,523.56
  5. Step 5: Solve for x
    x = 125,156,523.56/11,884.76
  6. Step 6: Final answer
    x = 10,530.84

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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.