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Finding the Fourth Proportional to 7,361.46, 11,044.02 and 3,665.46

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Solution

The fourth proportional to 7,361.46, 11,044.02 and 3,665.46 is: 5,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.46 : 11,044.02 = 3,665.46 : x
  2. Step 2: Convert to fraction form
    7,361.46/11,044.02 = 3,665.46/x
  3. Step 3: Cross multiply
    7,361.46x = 11,044.02 × 3,665.46
  4. Step 4: Simplify right side
    7,361.46x = 40,481,413.55
  5. Step 5: Solve for x
    x = 40,481,413.55/7,361.46
  6. Step 6: Final answer
    x = 5,499.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.