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Finding the Fourth Proportional to 7,222.53, 10,834.20 and 2,028

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Solution

The fourth proportional to 7,222.53, 10,834.20 and 2,028 is: 3,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.53 : 10,834.20 = 2,028 : x
  2. Step 2: Convert to fraction form
    7,222.53/10,834.20 = 2,028/x
  3. Step 3: Cross multiply
    7,222.53x = 10,834.20 × 2,028
  4. Step 4: Simplify right side
    7,222.53x = 21,971,757.60
  5. Step 5: Solve for x
    x = 21,971,757.60/7,222.53
  6. Step 6: Final answer
    x = 3,042.11

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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.