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Finding the Fourth Proportional to 8,285.97, 12,428.84 and 3,022.14

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Solution

The fourth proportional to 8,285.97, 12,428.84 and 3,022.14 is: 4,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.97 : 12,428.84 = 3,022.14 : x
  2. Step 2: Convert to fraction form
    8,285.97/12,428.84 = 3,022.14/x
  3. Step 3: Cross multiply
    8,285.97x = 12,428.84 × 3,022.14
  4. Step 4: Simplify right side
    8,285.97x = 37,561,617.26
  5. Step 5: Solve for x
    x = 37,561,617.26/8,285.97
  6. Step 6: Final answer
    x = 4,533.16

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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.