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Finding the Fourth Proportional to 7,202.47, 10,808.26 and 2,819.81

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Solution

The fourth proportional to 7,202.47, 10,808.26 and 2,819.81 is: 4,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.47 : 10,808.26 = 2,819.81 : x
  2. Step 2: Convert to fraction form
    7,202.47/10,808.26 = 2,819.81/x
  3. Step 3: Cross multiply
    7,202.47x = 10,808.26 × 2,819.81
  4. Step 4: Simplify right side
    7,202.47x = 30,477,267.53
  5. Step 5: Solve for x
    x = 30,477,267.53/7,202.47
  6. Step 6: Final answer
    x = 4,231.50

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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.