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Finding the Fourth Proportional to 10,103.57, 13,940.61 and 5,794.67

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Solution

The fourth proportional to 10,103.57, 13,940.61 and 5,794.67 is: 7,995.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.57 : 13,940.61 = 5,794.67 : x
  2. Step 2: Convert to fraction form
    10,103.57/13,940.61 = 5,794.67/x
  3. Step 3: Cross multiply
    10,103.57x = 13,940.61 × 5,794.67
  4. Step 4: Simplify right side
    10,103.57x = 80,781,234.55
  5. Step 5: Solve for x
    x = 80,781,234.55/10,103.57
  6. Step 6: Final answer
    x = 7,995.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.