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Finding the Fourth Proportional to 11,754.38, 16,221.30 and 6,449.21

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Solution

The fourth proportional to 11,754.38, 16,221.30 and 6,449.21 is: 8,900.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.38 : 16,221.30 = 6,449.21 : x
  2. Step 2: Convert to fraction form
    11,754.38/16,221.30 = 6,449.21/x
  3. Step 3: Cross multiply
    11,754.38x = 16,221.30 × 6,449.21
  4. Step 4: Simplify right side
    11,754.38x = 104,614,570.17
  5. Step 5: Solve for x
    x = 104,614,570.17/11,754.38
  6. Step 6: Final answer
    x = 8,900.05

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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.