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Finding the Fourth Proportional to 7,286.70, 10,930.05 and 6,800.70

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Solution

The fourth proportional to 7,286.70, 10,930.05 and 6,800.70 is: 10,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.70 : 10,930.05 = 6,800.70 : x
  2. Step 2: Convert to fraction form
    7,286.70/10,930.05 = 6,800.70/x
  3. Step 3: Cross multiply
    7,286.70x = 10,930.05 × 6,800.70
  4. Step 4: Simplify right side
    7,286.70x = 74,331,991.04
  5. Step 5: Solve for x
    x = 74,331,991.04/7,286.70
  6. Step 6: Final answer
    x = 10,201.05

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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.