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Finding the Fourth Proportional to 8,204.68, 12,312.49 and 3,822.58

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Solution

The fourth proportional to 8,204.68, 12,312.49 and 3,822.58 is: 5,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.68 : 12,312.49 = 3,822.58 : x
  2. Step 2: Convert to fraction form
    8,204.68/12,312.49 = 3,822.58/x
  3. Step 3: Cross multiply
    8,204.68x = 12,312.49 × 3,822.58
  4. Step 4: Simplify right side
    8,204.68x = 47,065,478.02
  5. Step 5: Solve for x
    x = 47,065,478.02/8,204.68
  6. Step 6: Final answer
    x = 5,736.42

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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.