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Finding the Fourth Proportional to 11,315.88, 16,963.56 and 6,115.68

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Solution

The fourth proportional to 11,315.88, 16,963.56 and 6,115.68 is: 9,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.88 : 16,963.56 = 6,115.68 : x
  2. Step 2: Convert to fraction form
    11,315.88/16,963.56 = 6,115.68/x
  3. Step 3: Cross multiply
    11,315.88x = 16,963.56 × 6,115.68
  4. Step 4: Simplify right side
    11,315.88x = 103,743,704.62
  5. Step 5: Solve for x
    x = 103,743,704.62/11,315.88
  6. Step 6: Final answer
    x = 9,167.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.