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Finding the Fourth Proportional to 7,387.75, 10,195.28 and 4,201.21

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Solution

The fourth proportional to 7,387.75, 10,195.28 and 4,201.21 is: 5,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.75 : 10,195.28 = 4,201.21 : x
  2. Step 2: Convert to fraction form
    7,387.75/10,195.28 = 4,201.21/x
  3. Step 3: Cross multiply
    7,387.75x = 10,195.28 × 4,201.21
  4. Step 4: Simplify right side
    7,387.75x = 42,832,512.29
  5. Step 5: Solve for x
    x = 42,832,512.29/7,387.75
  6. Step 6: Final answer
    x = 5,797.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.