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Finding the Fourth Proportional to 7,304.38, 10,964.37 and 3,146.45

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Solution

The fourth proportional to 7,304.38, 10,964.37 and 3,146.45 is: 4,723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.38 : 10,964.37 = 3,146.45 : x
  2. Step 2: Convert to fraction form
    7,304.38/10,964.37 = 3,146.45/x
  3. Step 3: Cross multiply
    7,304.38x = 10,964.37 × 3,146.45
  4. Step 4: Simplify right side
    7,304.38x = 34,498,771.43
  5. Step 5: Solve for x
    x = 34,498,771.43/7,304.38
  6. Step 6: Final answer
    x = 4,723.03

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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.