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Finding the Fourth Proportional to 8,228.40, 12,344.09 and 2,681.25

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Solution

The fourth proportional to 8,228.40, 12,344.09 and 2,681.25 is: 4,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.40 : 12,344.09 = 2,681.25 : x
  2. Step 2: Convert to fraction form
    8,228.40/12,344.09 = 2,681.25/x
  3. Step 3: Cross multiply
    8,228.40x = 12,344.09 × 2,681.25
  4. Step 4: Simplify right side
    8,228.40x = 33,097,591.31
  5. Step 5: Solve for x
    x = 33,097,591.31/8,228.40
  6. Step 6: Final answer
    x = 4,022.36

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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.