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Finding the Fourth Proportional to 7,468.38, 11,202.63 and 2,274.24

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Solution

The fourth proportional to 7,468.38, 11,202.63 and 2,274.24 is: 3,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.38 : 11,202.63 = 2,274.24 : x
  2. Step 2: Convert to fraction form
    7,468.38/11,202.63 = 2,274.24/x
  3. Step 3: Cross multiply
    7,468.38x = 11,202.63 × 2,274.24
  4. Step 4: Simplify right side
    7,468.38x = 25,477,469.25
  5. Step 5: Solve for x
    x = 25,477,469.25/7,468.38
  6. Step 6: Final answer
    x = 3,411.38

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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.