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Finding the Fourth Proportional to 11,361.96, 15,679.38 and 6,326.07

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Solution

The fourth proportional to 11,361.96, 15,679.38 and 6,326.07 is: 8,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.96 : 15,679.38 = 6,326.07 : x
  2. Step 2: Convert to fraction form
    11,361.96/15,679.38 = 6,326.07/x
  3. Step 3: Cross multiply
    11,361.96x = 15,679.38 × 6,326.07
  4. Step 4: Simplify right side
    11,361.96x = 99,188,855.44
  5. Step 5: Solve for x
    x = 99,188,855.44/11,361.96
  6. Step 6: Final answer
    x = 8,729.91

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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.