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Finding the Fourth Proportional to 7,223.82, 10,836.03 and 3,521.64

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Solution

The fourth proportional to 7,223.82, 10,836.03 and 3,521.64 is: 5,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.82 : 10,836.03 = 3,521.64 : x
  2. Step 2: Convert to fraction form
    7,223.82/10,836.03 = 3,521.64/x
  3. Step 3: Cross multiply
    7,223.82x = 10,836.03 × 3,521.64
  4. Step 4: Simplify right side
    7,223.82x = 38,160,596.69
  5. Step 5: Solve for x
    x = 38,160,596.69/7,223.82
  6. Step 6: Final answer
    x = 5,282.61

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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.