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Finding the Fourth Proportional to 7,468, 11,204.03 and 2,273.88

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Solution

The fourth proportional to 7,468, 11,204.03 and 2,273.88 is: 3,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468 : 11,204.03 = 2,273.88 : x
  2. Step 2: Convert to fraction form
    7,468/11,204.03 = 2,273.88/x
  3. Step 3: Cross multiply
    7,468x = 11,204.03 × 2,273.88
  4. Step 4: Simplify right side
    7,468x = 25,476,552.35
  5. Step 5: Solve for x
    x = 25,476,552.35/7,468
  6. Step 6: Final answer
    x = 3,411.43

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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.