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Finding the Fourth Proportional to 6,930.40, 10,384.20 and 4,003.60

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Solution

The fourth proportional to 6,930.40, 10,384.20 and 4,003.60 is: 5,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.40 : 10,384.20 = 4,003.60 : x
  2. Step 2: Convert to fraction form
    6,930.40/10,384.20 = 4,003.60/x
  3. Step 3: Cross multiply
    6,930.40x = 10,384.20 × 4,003.60
  4. Step 4: Simplify right side
    6,930.40x = 41,574,183.12
  5. Step 5: Solve for x
    x = 41,574,183.12/6,930.40
  6. Step 6: Final answer
    x = 5,998.81

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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.