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Finding the Fourth Proportional to 7,202.41, 10,803.62 and 4,122.25

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Solution

The fourth proportional to 7,202.41, 10,803.62 and 4,122.25 is: 6,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.41 : 10,803.62 = 4,122.25 : x
  2. Step 2: Convert to fraction form
    7,202.41/10,803.62 = 4,122.25/x
  3. Step 3: Cross multiply
    7,202.41x = 10,803.62 × 4,122.25
  4. Step 4: Simplify right side
    7,202.41x = 44,535,222.55
  5. Step 5: Solve for x
    x = 44,535,222.55/7,202.41
  6. Step 6: Final answer
    x = 6,183.38

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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.