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Finding the Fourth Proportional to 7,464.78, 11,197.17 and 2,270.70

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Solution

The fourth proportional to 7,464.78, 11,197.17 and 2,270.70 is: 3,406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.78 : 11,197.17 = 2,270.70 : x
  2. Step 2: Convert to fraction form
    7,464.78/11,197.17 = 2,270.70/x
  3. Step 3: Cross multiply
    7,464.78x = 11,197.17 × 2,270.70
  4. Step 4: Simplify right side
    7,464.78x = 25,425,413.92
  5. Step 5: Solve for x
    x = 25,425,413.92/7,464.78
  6. Step 6: Final answer
    x = 3,406.05

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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.