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Finding the Fourth Proportional to 7,282.44, 10,906.65 and 6,694.38

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Solution

The fourth proportional to 7,282.44, 10,906.65 and 6,694.38 is: 10,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.44 : 10,906.65 = 6,694.38 : x
  2. Step 2: Convert to fraction form
    7,282.44/10,906.65 = 6,694.38/x
  3. Step 3: Cross multiply
    7,282.44x = 10,906.65 × 6,694.38
  4. Step 4: Simplify right side
    7,282.44x = 73,013,259.63
  5. Step 5: Solve for x
    x = 73,013,259.63/7,282.44
  6. Step 6: Final answer
    x = 10,025.93

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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.