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Finding the Fourth Proportional to 8,122.98, 12,185.49 and 2,856.75

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Solution

The fourth proportional to 8,122.98, 12,185.49 and 2,856.75 is: 4,285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.98 : 12,185.49 = 2,856.75 : x
  2. Step 2: Convert to fraction form
    8,122.98/12,185.49 = 2,856.75/x
  3. Step 3: Cross multiply
    8,122.98x = 12,185.49 × 2,856.75
  4. Step 4: Simplify right side
    8,122.98x = 34,810,916.05
  5. Step 5: Solve for x
    x = 34,810,916.05/8,122.98
  6. Step 6: Final answer
    x = 4,285.48

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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.