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Finding the Fourth Proportional to 8,505.84, 12,759.30 and 4,122.12

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Solution

The fourth proportional to 8,505.84, 12,759.30 and 4,122.12 is: 6,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.84 : 12,759.30 = 4,122.12 : x
  2. Step 2: Convert to fraction form
    8,505.84/12,759.30 = 4,122.12/x
  3. Step 3: Cross multiply
    8,505.84x = 12,759.30 × 4,122.12
  4. Step 4: Simplify right side
    8,505.84x = 52,595,365.72
  5. Step 5: Solve for x
    x = 52,595,365.72/8,505.84
  6. Step 6: Final answer
    x = 6,183.44

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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.