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Finding the Fourth Proportional to 10,093.69, 15,142.52 and 3,520.09

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Solution

The fourth proportional to 10,093.69, 15,142.52 and 3,520.09 is: 5,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.69 : 15,142.52 = 3,520.09 : x
  2. Step 2: Convert to fraction form
    10,093.69/15,142.52 = 3,520.09/x
  3. Step 3: Cross multiply
    10,093.69x = 15,142.52 × 3,520.09
  4. Step 4: Simplify right side
    10,093.69x = 53,303,033.23
  5. Step 5: Solve for x
    x = 53,303,033.23/10,093.69
  6. Step 6: Final answer
    x = 5,280.83

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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.