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Finding the Fourth Proportional to 10,122.53, 15,183.80 and 5,189.03

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Solution

The fourth proportional to 10,122.53, 15,183.80 and 5,189.03 is: 7,783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.53 : 15,183.80 = 5,189.03 : x
  2. Step 2: Convert to fraction form
    10,122.53/15,183.80 = 5,189.03/x
  3. Step 3: Cross multiply
    10,122.53x = 15,183.80 × 5,189.03
  4. Step 4: Simplify right side
    10,122.53x = 78,789,091.85
  5. Step 5: Solve for x
    x = 78,789,091.85/10,122.53
  6. Step 6: Final answer
    x = 7,783.54

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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.