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Finding the Fourth Proportional to 7,684.57, 11,528.39 and 2,687.45

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Solution

The fourth proportional to 7,684.57, 11,528.39 and 2,687.45 is: 4,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.57 : 11,528.39 = 2,687.45 : x
  2. Step 2: Convert to fraction form
    7,684.57/11,528.39 = 2,687.45/x
  3. Step 3: Cross multiply
    7,684.57x = 11,528.39 × 2,687.45
  4. Step 4: Simplify right side
    7,684.57x = 30,981,950.77
  5. Step 5: Solve for x
    x = 30,981,950.77/7,684.57
  6. Step 6: Final answer
    x = 4,031.71

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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.