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Finding the Fourth Proportional to 12,098.16, 16,694.55 and 6,791.94

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Solution

The fourth proportional to 12,098.16, 16,694.55 and 6,791.94 is: 9,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.16 : 16,694.55 = 6,791.94 : x
  2. Step 2: Convert to fraction form
    12,098.16/16,694.55 = 6,791.94/x
  3. Step 3: Cross multiply
    12,098.16x = 16,694.55 × 6,791.94
  4. Step 4: Simplify right side
    12,098.16x = 113,388,381.93
  5. Step 5: Solve for x
    x = 113,388,381.93/12,098.16
  6. Step 6: Final answer
    x = 9,372.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.