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Finding the Fourth Proportional to 6,952.52, 10,428.49 and 2,022.06

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Solution

The fourth proportional to 6,952.52, 10,428.49 and 2,022.06 is: 3,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.52 : 10,428.49 = 2,022.06 : x
  2. Step 2: Convert to fraction form
    6,952.52/10,428.49 = 2,022.06/x
  3. Step 3: Cross multiply
    6,952.52x = 10,428.49 × 2,022.06
  4. Step 4: Simplify right side
    6,952.52x = 21,087,032.49
  5. Step 5: Solve for x
    x = 21,087,032.49/6,952.52
  6. Step 6: Final answer
    x = 3,033.01

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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.