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Finding the Fourth Proportional to 7,687.75, 11,532.44 and 3,527.05

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Solution

The fourth proportional to 7,687.75, 11,532.44 and 3,527.05 is: 5,290.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.75 : 11,532.44 = 3,527.05 : x
  2. Step 2: Convert to fraction form
    7,687.75/11,532.44 = 3,527.05/x
  3. Step 3: Cross multiply
    7,687.75x = 11,532.44 × 3,527.05
  4. Step 4: Simplify right side
    7,687.75x = 40,675,474.87
  5. Step 5: Solve for x
    x = 40,675,474.87/7,687.75
  6. Step 6: Final answer
    x = 5,290.95

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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.