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Finding the Fourth Proportional to 7,201.62, 10,793.30 and 3,248.64

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Solution

The fourth proportional to 7,201.62, 10,793.30 and 3,248.64 is: 4,868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.62 : 10,793.30 = 3,248.64 : x
  2. Step 2: Convert to fraction form
    7,201.62/10,793.30 = 3,248.64/x
  3. Step 3: Cross multiply
    7,201.62x = 10,793.30 × 3,248.64
  4. Step 4: Simplify right side
    7,201.62x = 35,063,529.87
  5. Step 5: Solve for x
    x = 35,063,529.87/7,201.62
  6. Step 6: Final answer
    x = 4,868.84

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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.