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Finding the Fourth Proportional to 12,394.56, 17,107.48 and 7,676

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Solution

The fourth proportional to 12,394.56, 17,107.48 and 7,676 is: 10,594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.56 : 17,107.48 = 7,676 : x
  2. Step 2: Convert to fraction form
    12,394.56/17,107.48 = 7,676/x
  3. Step 3: Cross multiply
    12,394.56x = 17,107.48 × 7,676
  4. Step 4: Simplify right side
    12,394.56x = 131,317,016.48
  5. Step 5: Solve for x
    x = 131,317,016.48/12,394.56
  6. Step 6: Final answer
    x = 10,594.73

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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.