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Finding the Fourth Proportional to 7,286.24, 10,922.64 and 2,668.64

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Solution

The fourth proportional to 7,286.24, 10,922.64 and 2,668.64 is: 4,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.24 : 10,922.64 = 2,668.64 : x
  2. Step 2: Convert to fraction form
    7,286.24/10,922.64 = 2,668.64/x
  3. Step 3: Cross multiply
    7,286.24x = 10,922.64 × 2,668.64
  4. Step 4: Simplify right side
    7,286.24x = 29,148,594.01
  5. Step 5: Solve for x
    x = 29,148,594.01/7,286.24
  6. Step 6: Final answer
    x = 4,000.50

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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.