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Finding the Fourth Proportional to 10,137.72, 15,202.50 and 3,897.96

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Solution

The fourth proportional to 10,137.72, 15,202.50 and 3,897.96 is: 5,845.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.72 : 15,202.50 = 3,897.96 : x
  2. Step 2: Convert to fraction form
    10,137.72/15,202.50 = 3,897.96/x
  3. Step 3: Cross multiply
    10,137.72x = 15,202.50 × 3,897.96
  4. Step 4: Simplify right side
    10,137.72x = 59,258,736.90
  5. Step 5: Solve for x
    x = 59,258,736.90/10,137.72
  6. Step 6: Final answer
    x = 5,845.37

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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.