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Finding the Fourth Proportional to 6,902.02, 10,352.03 and 2,221.42

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Solution

The fourth proportional to 6,902.02, 10,352.03 and 2,221.42 is: 3,331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.02 : 10,352.03 = 2,221.42 : x
  2. Step 2: Convert to fraction form
    6,902.02/10,352.03 = 2,221.42/x
  3. Step 3: Cross multiply
    6,902.02x = 10,352.03 × 2,221.42
  4. Step 4: Simplify right side
    6,902.02x = 22,996,206.48
  5. Step 5: Solve for x
    x = 22,996,206.48/6,902.02
  6. Step 6: Final answer
    x = 3,331.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.