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Finding the Fourth Proportional to 7,698.45, 11,540.75 and 2,766.93

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Solution

The fourth proportional to 7,698.45, 11,540.75 and 2,766.93 is: 4,147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.45 : 11,540.75 = 2,766.93 : x
  2. Step 2: Convert to fraction form
    7,698.45/11,540.75 = 2,766.93/x
  3. Step 3: Cross multiply
    7,698.45x = 11,540.75 × 2,766.93
  4. Step 4: Simplify right side
    7,698.45x = 31,932,433.56
  5. Step 5: Solve for x
    x = 31,932,433.56/7,698.45
  6. Step 6: Final answer
    x = 4,147.90

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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.