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Finding the Fourth Proportional to 8,276.75, 12,415.03 and 3,346.30

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Solution

The fourth proportional to 8,276.75, 12,415.03 and 3,346.30 is: 5,019.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.75 : 12,415.03 = 3,346.30 : x
  2. Step 2: Convert to fraction form
    8,276.75/12,415.03 = 3,346.30/x
  3. Step 3: Cross multiply
    8,276.75x = 12,415.03 × 3,346.30
  4. Step 4: Simplify right side
    8,276.75x = 41,544,414.89
  5. Step 5: Solve for x
    x = 41,544,414.89/8,276.75
  6. Step 6: Final answer
    x = 5,019.41

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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.