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Finding the Fourth Proportional to 6,729.96, 10,096.26 and 2,347.56

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Solution

The fourth proportional to 6,729.96, 10,096.26 and 2,347.56 is: 3,521.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.96 : 10,096.26 = 2,347.56 : x
  2. Step 2: Convert to fraction form
    6,729.96/10,096.26 = 2,347.56/x
  3. Step 3: Cross multiply
    6,729.96x = 10,096.26 × 2,347.56
  4. Step 4: Simplify right side
    6,729.96x = 23,701,576.13
  5. Step 5: Solve for x
    x = 23,701,576.13/6,729.96
  6. Step 6: Final answer
    x = 3,521.80

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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.