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Finding the Fourth Proportional to 7,096.62, 10,644.93 and 1,902.63

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Solution

The fourth proportional to 7,096.62, 10,644.93 and 1,902.63 is: 2,853.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.62 : 10,644.93 = 1,902.63 : x
  2. Step 2: Convert to fraction form
    7,096.62/10,644.93 = 1,902.63/x
  3. Step 3: Cross multiply
    7,096.62x = 10,644.93 × 1,902.63
  4. Step 4: Simplify right side
    7,096.62x = 20,253,363.17
  5. Step 5: Solve for x
    x = 20,253,363.17/7,096.62
  6. Step 6: Final answer
    x = 2,853.95

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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.