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Finding the Fourth Proportional to 7,499.37, 11,234.73 and 4,202.49

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Solution

The fourth proportional to 7,499.37, 11,234.73 and 4,202.49 is: 6,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,499.37 : 11,234.73 = 4,202.49 : x
  2. Step 2: Convert to fraction form
    7,499.37/11,234.73 = 4,202.49/x
  3. Step 3: Cross multiply
    7,499.37x = 11,234.73 × 4,202.49
  4. Step 4: Simplify right side
    7,499.37x = 47,213,840.48
  5. Step 5: Solve for x
    x = 47,213,840.48/7,499.37
  6. Step 6: Final answer
    x = 6,295.71

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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.