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Finding the Fourth Proportional to 10,099.88, 15,150.42 and 3,174.38

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Solution

The fourth proportional to 10,099.88, 15,150.42 and 3,174.38 is: 4,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.88 : 15,150.42 = 3,174.38 : x
  2. Step 2: Convert to fraction form
    10,099.88/15,150.42 = 3,174.38/x
  3. Step 3: Cross multiply
    10,099.88x = 15,150.42 × 3,174.38
  4. Step 4: Simplify right side
    10,099.88x = 48,093,114.49
  5. Step 5: Solve for x
    x = 48,093,114.49/10,099.88
  6. Step 6: Final answer
    x = 4,761.75

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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.