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Finding the Fourth Proportional to 7,212.75, 9,953.60 and 3,900.75

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Solution

The fourth proportional to 7,212.75, 9,953.60 and 3,900.75 is: 5,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.75 : 9,953.60 = 3,900.75 : x
  2. Step 2: Convert to fraction form
    7,212.75/9,953.60 = 3,900.75/x
  3. Step 3: Cross multiply
    7,212.75x = 9,953.60 × 3,900.75
  4. Step 4: Simplify right side
    7,212.75x = 38,826,485.70
  5. Step 5: Solve for x
    x = 38,826,485.70/7,212.75
  6. Step 6: Final answer
    x = 5,383.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.