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Finding the Fourth Proportional to 6,694.65, 10,043.06 and 2,996.87

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Solution

The fourth proportional to 6,694.65, 10,043.06 and 2,996.87 is: 4,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.65 : 10,043.06 = 2,996.87 : x
  2. Step 2: Convert to fraction form
    6,694.65/10,043.06 = 2,996.87/x
  3. Step 3: Cross multiply
    6,694.65x = 10,043.06 × 2,996.87
  4. Step 4: Simplify right side
    6,694.65x = 30,097,680.02
  5. Step 5: Solve for x
    x = 30,097,680.02/6,694.65
  6. Step 6: Final answer
    x = 4,495.78

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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.