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Finding the Fourth Proportional to 7,684.56, 11,524.92 and 2,491.92

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Solution

The fourth proportional to 7,684.56, 11,524.92 and 2,491.92 is: 3,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.56 : 11,524.92 = 2,491.92 : x
  2. Step 2: Convert to fraction form
    7,684.56/11,524.92 = 2,491.92/x
  3. Step 3: Cross multiply
    7,684.56x = 11,524.92 × 2,491.92
  4. Step 4: Simplify right side
    7,684.56x = 28,719,178.65
  5. Step 5: Solve for x
    x = 28,719,178.65/7,684.56
  6. Step 6: Final answer
    x = 3,737.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.