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Finding the Fourth Proportional to 11,754.42, 16,221.52 and 6,449.39

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Solution

The fourth proportional to 11,754.42, 16,221.52 and 6,449.39 is: 8,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.42 : 16,221.52 = 6,449.39 : x
  2. Step 2: Convert to fraction form
    11,754.42/16,221.52 = 6,449.39/x
  3. Step 3: Cross multiply
    11,754.42x = 16,221.52 × 6,449.39
  4. Step 4: Simplify right side
    11,754.42x = 104,618,860.38
  5. Step 5: Solve for x
    x = 104,618,860.38/11,754.42
  6. Step 6: Final answer
    x = 8,900.39

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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.