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Finding the Fourth Proportional to 12,605.12, 17,394.82 and 7,892

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Solution

The fourth proportional to 12,605.12, 17,394.82 and 7,892 is: 10,890.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.12 : 17,394.82 = 7,892 : x
  2. Step 2: Convert to fraction form
    12,605.12/17,394.82 = 7,892/x
  3. Step 3: Cross multiply
    12,605.12x = 17,394.82 × 7,892
  4. Step 4: Simplify right side
    12,605.12x = 137,279,919.44
  5. Step 5: Solve for x
    x = 137,279,919.44/12,605.12
  6. Step 6: Final answer
    x = 10,890.81

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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.