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Finding the Fourth Proportional to 8,274.75, 12,412.04 and 3,344.30

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Solution

The fourth proportional to 8,274.75, 12,412.04 and 3,344.30 is: 5,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.75 : 12,412.04 = 3,344.30 : x
  2. Step 2: Convert to fraction form
    8,274.75/12,412.04 = 3,344.30/x
  3. Step 3: Cross multiply
    8,274.75x = 12,412.04 × 3,344.30
  4. Step 4: Simplify right side
    8,274.75x = 41,509,506.59
  5. Step 5: Solve for x
    x = 41,509,506.59/8,274.75
  6. Step 6: Final answer
    x = 5,016.41

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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.