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Finding the Fourth Proportional to 10,099.53, 15,146.46 and 3,855.24

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Solution

The fourth proportional to 10,099.53, 15,146.46 and 3,855.24 is: 5,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.53 : 15,146.46 = 3,855.24 : x
  2. Step 2: Convert to fraction form
    10,099.53/15,146.46 = 3,855.24/x
  3. Step 3: Cross multiply
    10,099.53x = 15,146.46 × 3,855.24
  4. Step 4: Simplify right side
    10,099.53x = 58,393,238.45
  5. Step 5: Solve for x
    x = 58,393,238.45/10,099.53
  6. Step 6: Final answer
    x = 5,781.78

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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.