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Finding the Fourth Proportional to 7,304.13, 10,964 and 3,146.20

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Solution

The fourth proportional to 7,304.13, 10,964 and 3,146.20 is: 4,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.13 : 10,964 = 3,146.20 : x
  2. Step 2: Convert to fraction form
    7,304.13/10,964 = 3,146.20/x
  3. Step 3: Cross multiply
    7,304.13x = 10,964 × 3,146.20
  4. Step 4: Simplify right side
    7,304.13x = 34,494,936.80
  5. Step 5: Solve for x
    x = 34,494,936.80/7,304.13
  6. Step 6: Final answer
    x = 4,722.66

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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.