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Finding the Fourth Proportional to 7,202.80, 10,812.30 and 3,914.20

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Solution

The fourth proportional to 7,202.80, 10,812.30 and 3,914.20 is: 5,875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.80 : 10,812.30 = 3,914.20 : x
  2. Step 2: Convert to fraction form
    7,202.80/10,812.30 = 3,914.20/x
  3. Step 3: Cross multiply
    7,202.80x = 10,812.30 × 3,914.20
  4. Step 4: Simplify right side
    7,202.80x = 42,321,504.66
  5. Step 5: Solve for x
    x = 42,321,504.66/7,202.80
  6. Step 6: Final answer
    x = 5,875.70

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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.