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Finding the Fourth Proportional to 7,682.14, 11,517.74 and 4,554.73

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Solution

The fourth proportional to 7,682.14, 11,517.74 and 4,554.73 is: 6,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.14 : 11,517.74 = 4,554.73 : x
  2. Step 2: Convert to fraction form
    7,682.14/11,517.74 = 4,554.73/x
  3. Step 3: Cross multiply
    7,682.14x = 11,517.74 × 4,554.73
  4. Step 4: Simplify right side
    7,682.14x = 52,460,230.23
  5. Step 5: Solve for x
    x = 52,460,230.23/7,682.14
  6. Step 6: Final answer
    x = 6,828.86

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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.