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Finding the Fourth Proportional to 7,202.37, 10,793.74 and 3,685.02

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Solution

The fourth proportional to 7,202.37, 10,793.74 and 3,685.02 is: 5,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.37 : 10,793.74 = 3,685.02 : x
  2. Step 2: Convert to fraction form
    7,202.37/10,793.74 = 3,685.02/x
  3. Step 3: Cross multiply
    7,202.37x = 10,793.74 × 3,685.02
  4. Step 4: Simplify right side
    7,202.37x = 39,775,147.77
  5. Step 5: Solve for x
    x = 39,775,147.77/7,202.37
  6. Step 6: Final answer
    x = 5,522.51

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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.