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Finding the Fourth Proportional to 6,777.36, 10,162.28 and 2,096.07

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Solution

The fourth proportional to 6,777.36, 10,162.28 and 2,096.07 is: 3,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.36 : 10,162.28 = 2,096.07 : x
  2. Step 2: Convert to fraction form
    6,777.36/10,162.28 = 2,096.07/x
  3. Step 3: Cross multiply
    6,777.36x = 10,162.28 × 2,096.07
  4. Step 4: Simplify right side
    6,777.36x = 21,300,839.76
  5. Step 5: Solve for x
    x = 21,300,839.76/6,777.36
  6. Step 6: Final answer
    x = 3,142.94

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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.