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Finding the Fourth Proportional to 6,775.83, 10,164.69 and 2,096.22

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Solution

The fourth proportional to 6,775.83, 10,164.69 and 2,096.22 is: 3,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.83 : 10,164.69 = 2,096.22 : x
  2. Step 2: Convert to fraction form
    6,775.83/10,164.69 = 2,096.22/x
  3. Step 3: Cross multiply
    6,775.83x = 10,164.69 × 2,096.22
  4. Step 4: Simplify right side
    6,775.83x = 21,307,426.47
  5. Step 5: Solve for x
    x = 21,307,426.47/6,775.83
  6. Step 6: Final answer
    x = 3,144.62

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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.