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Finding the Fourth Proportional to 6,952.49, 10,429.42 and 2,022.17

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Solution

The fourth proportional to 6,952.49, 10,429.42 and 2,022.17 is: 3,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.49 : 10,429.42 = 2,022.17 : x
  2. Step 2: Convert to fraction form
    6,952.49/10,429.42 = 2,022.17/x
  3. Step 3: Cross multiply
    6,952.49x = 10,429.42 × 2,022.17
  4. Step 4: Simplify right side
    6,952.49x = 21,090,060.24
  5. Step 5: Solve for x
    x = 21,090,060.24/6,952.49
  6. Step 6: Final answer
    x = 3,033.45

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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.