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Finding the Fourth Proportional to 6,952.62, 10,429.41 and 2,022.30

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Solution

The fourth proportional to 6,952.62, 10,429.41 and 2,022.30 is: 3,033.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.62 : 10,429.41 = 2,022.30 : x
  2. Step 2: Convert to fraction form
    6,952.62/10,429.41 = 2,022.30/x
  3. Step 3: Cross multiply
    6,952.62x = 10,429.41 × 2,022.30
  4. Step 4: Simplify right side
    6,952.62x = 21,091,395.84
  5. Step 5: Solve for x
    x = 21,091,395.84/6,952.62
  6. Step 6: Final answer
    x = 3,033.59

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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.