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Finding the Fourth Proportional to 6,894.63, 10,338.37 and 3,383.10

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Solution

The fourth proportional to 6,894.63, 10,338.37 and 3,383.10 is: 5,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.63 : 10,338.37 = 3,383.10 : x
  2. Step 2: Convert to fraction form
    6,894.63/10,338.37 = 3,383.10/x
  3. Step 3: Cross multiply
    6,894.63x = 10,338.37 × 3,383.10
  4. Step 4: Simplify right side
    6,894.63x = 34,975,739.55
  5. Step 5: Solve for x
    x = 34,975,739.55/6,894.63
  6. Step 6: Final answer
    x = 5,072.90

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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.