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Finding the Fourth Proportional to 7,121.60, 10,682.16 and 3,223.28

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Solution

The fourth proportional to 7,121.60, 10,682.16 and 3,223.28 is: 4,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.60 : 10,682.16 = 3,223.28 : x
  2. Step 2: Convert to fraction form
    7,121.60/10,682.16 = 3,223.28/x
  3. Step 3: Cross multiply
    7,121.60x = 10,682.16 × 3,223.28
  4. Step 4: Simplify right side
    7,121.60x = 34,431,592.68
  5. Step 5: Solve for x
    x = 34,431,592.68/7,121.60
  6. Step 6: Final answer
    x = 4,834.81

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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.