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Finding the Fourth Proportional to 7,693.05, 11,540.14 and 2,762.73

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Solution

The fourth proportional to 7,693.05, 11,540.14 and 2,762.73 is: 4,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.05 : 11,540.14 = 2,762.73 : x
  2. Step 2: Convert to fraction form
    7,693.05/11,540.14 = 2,762.73/x
  3. Step 3: Cross multiply
    7,693.05x = 11,540.14 × 2,762.73
  4. Step 4: Simplify right side
    7,693.05x = 31,882,305.41
  5. Step 5: Solve for x
    x = 31,882,305.41/7,693.05
  6. Step 6: Final answer
    x = 4,144.30

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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.