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Finding the Fourth Proportional to 6,775.68, 10,164.47 and 2,096.09

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Solution

The fourth proportional to 6,775.68, 10,164.47 and 2,096.09 is: 3,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.68 : 10,164.47 = 2,096.09 : x
  2. Step 2: Convert to fraction form
    6,775.68/10,164.47 = 2,096.09/x
  3. Step 3: Cross multiply
    6,775.68x = 10,164.47 × 2,096.09
  4. Step 4: Simplify right side
    6,775.68x = 21,305,666.71
  5. Step 5: Solve for x
    x = 21,305,666.71/6,775.68
  6. Step 6: Final answer
    x = 3,144.43

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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.