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Finding the Fourth Proportional to 7,304.40, 10,942.20 and 4,222.80

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Solution

The fourth proportional to 7,304.40, 10,942.20 and 4,222.80 is: 6,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.40 : 10,942.20 = 4,222.80 : x
  2. Step 2: Convert to fraction form
    7,304.40/10,942.20 = 4,222.80/x
  3. Step 3: Cross multiply
    7,304.40x = 10,942.20 × 4,222.80
  4. Step 4: Simplify right side
    7,304.40x = 46,206,722.16
  5. Step 5: Solve for x
    x = 46,206,722.16/7,304.40
  6. Step 6: Final answer
    x = 6,325.88

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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.