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Finding the Fourth Proportional to 7,344.27, 11,020.20 and 3,646.42

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Solution

The fourth proportional to 7,344.27, 11,020.20 and 3,646.42 is: 5,471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344.27 : 11,020.20 = 3,646.42 : x
  2. Step 2: Convert to fraction form
    7,344.27/11,020.20 = 3,646.42/x
  3. Step 3: Cross multiply
    7,344.27x = 11,020.20 × 3,646.42
  4. Step 4: Simplify right side
    7,344.27x = 40,184,213.47
  5. Step 5: Solve for x
    x = 40,184,213.47/7,344.27
  6. Step 6: Final answer
    x = 5,471.51

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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.