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Finding the Fourth Proportional to 7,633.27, 11,451.27 and 3,934.51

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Solution

The fourth proportional to 7,633.27, 11,451.27 and 3,934.51 is: 5,902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.27 : 11,451.27 = 3,934.51 : x
  2. Step 2: Convert to fraction form
    7,633.27/11,451.27 = 3,934.51/x
  3. Step 3: Cross multiply
    7,633.27x = 11,451.27 × 3,934.51
  4. Step 4: Simplify right side
    7,633.27x = 45,055,122.45
  5. Step 5: Solve for x
    x = 45,055,122.45/7,633.27
  6. Step 6: Final answer
    x = 5,902.47

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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.