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Finding the Fourth Proportional to 8,380.96, 12,571.86 and 2,141.02

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Solution

The fourth proportional to 8,380.96, 12,571.86 and 2,141.02 is: 3,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.96 : 12,571.86 = 2,141.02 : x
  2. Step 2: Convert to fraction form
    8,380.96/12,571.86 = 2,141.02/x
  3. Step 3: Cross multiply
    8,380.96x = 12,571.86 × 2,141.02
  4. Step 4: Simplify right side
    8,380.96x = 26,916,603.70
  5. Step 5: Solve for x
    x = 26,916,603.70/8,380.96
  6. Step 6: Final answer
    x = 3,211.64

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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.