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Finding the Fourth Proportional to 7,698.27, 11,548.50 and 2,766.99

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Solution

The fourth proportional to 7,698.27, 11,548.50 and 2,766.99 is: 4,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.27 : 11,548.50 = 2,766.99 : x
  2. Step 2: Convert to fraction form
    7,698.27/11,548.50 = 2,766.99/x
  3. Step 3: Cross multiply
    7,698.27x = 11,548.50 × 2,766.99
  4. Step 4: Simplify right side
    7,698.27x = 31,954,584.02
  5. Step 5: Solve for x
    x = 31,954,584.02/7,698.27
  6. Step 6: Final answer
    x = 4,150.88

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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.