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Finding the Fourth Proportional to 7,096.12, 10,644.16 and 3,195.96

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Solution

The fourth proportional to 7,096.12, 10,644.16 and 3,195.96 is: 4,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.12 : 10,644.16 = 3,195.96 : x
  2. Step 2: Convert to fraction form
    7,096.12/10,644.16 = 3,195.96/x
  3. Step 3: Cross multiply
    7,096.12x = 10,644.16 × 3,195.96
  4. Step 4: Simplify right side
    7,096.12x = 34,018,309.59
  5. Step 5: Solve for x
    x = 34,018,309.59/7,096.12
  6. Step 6: Final answer
    x = 4,793.93

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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.