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Finding the Fourth Proportional to 6,894.37, 10,325.08 and 3,769.71

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Solution

The fourth proportional to 6,894.37, 10,325.08 and 3,769.71 is: 5,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.37 : 10,325.08 = 3,769.71 : x
  2. Step 2: Convert to fraction form
    6,894.37/10,325.08 = 3,769.71/x
  3. Step 3: Cross multiply
    6,894.37x = 10,325.08 × 3,769.71
  4. Step 4: Simplify right side
    6,894.37x = 38,922,557.33
  5. Step 5: Solve for x
    x = 38,922,557.33/6,894.37
  6. Step 6: Final answer
    x = 5,645.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.