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Finding the Fourth Proportional to 7,096.53, 10,643.97 and 1,902.81

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Solution

The fourth proportional to 7,096.53, 10,643.97 and 1,902.81 is: 2,853.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.53 : 10,643.97 = 1,902.81 : x
  2. Step 2: Convert to fraction form
    7,096.53/10,643.97 = 1,902.81/x
  3. Step 3: Cross multiply
    7,096.53x = 10,643.97 × 1,902.81
  4. Step 4: Simplify right side
    7,096.53x = 20,253,452.56
  5. Step 5: Solve for x
    x = 20,253,452.56/7,096.53
  6. Step 6: Final answer
    x = 2,853.99

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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.