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Finding the Fourth Proportional to 10,202.72, 15,304.05 and 3,629.16

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Solution

The fourth proportional to 10,202.72, 15,304.05 and 3,629.16 is: 5,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.72 : 15,304.05 = 3,629.16 : x
  2. Step 2: Convert to fraction form
    10,202.72/15,304.05 = 3,629.16/x
  3. Step 3: Cross multiply
    10,202.72x = 15,304.05 × 3,629.16
  4. Step 4: Simplify right side
    10,202.72x = 55,540,846.10
  5. Step 5: Solve for x
    x = 55,540,846.10/10,202.72
  6. Step 6: Final answer
    x = 5,443.73

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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.