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Finding the Fourth Proportional to 7,367.50, 11,036.47 and 3,658.51

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Solution

The fourth proportional to 7,367.50, 11,036.47 and 3,658.51 is: 5,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367.50 : 11,036.47 = 3,658.51 : x
  2. Step 2: Convert to fraction form
    7,367.50/11,036.47 = 3,658.51/x
  3. Step 3: Cross multiply
    7,367.50x = 11,036.47 × 3,658.51
  4. Step 4: Simplify right side
    7,367.50x = 40,377,035.86
  5. Step 5: Solve for x
    x = 40,377,035.86/7,367.50
  6. Step 6: Final answer
    x = 5,480.43

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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.