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Finding the Fourth Proportional to 10,102.57, 13,939.23 and 5,793.67

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Solution

The fourth proportional to 10,102.57, 13,939.23 and 5,793.67 is: 7,993.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.57 : 13,939.23 = 5,793.67 : x
  2. Step 2: Convert to fraction form
    10,102.57/13,939.23 = 5,793.67/x
  3. Step 3: Cross multiply
    10,102.57x = 13,939.23 × 5,793.67
  4. Step 4: Simplify right side
    10,102.57x = 80,759,298.67
  5. Step 5: Solve for x
    x = 80,759,298.67/10,102.57
  6. Step 6: Final answer
    x = 7,993.94

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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.