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Finding the Fourth Proportional to 8,204.90, 12,309.35 and 2,361.47

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Solution

The fourth proportional to 8,204.90, 12,309.35 and 2,361.47 is: 3,542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.90 : 12,309.35 = 2,361.47 : x
  2. Step 2: Convert to fraction form
    8,204.90/12,309.35 = 2,361.47/x
  3. Step 3: Cross multiply
    8,204.90x = 12,309.35 × 2,361.47
  4. Step 4: Simplify right side
    8,204.90x = 29,068,087.39
  5. Step 5: Solve for x
    x = 29,068,087.39/8,204.90
  6. Step 6: Final answer
    x = 3,542.77

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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.