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Finding the Fourth Proportional to 8,441.30, 12,661.92 and 2,285.30

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Solution

The fourth proportional to 8,441.30, 12,661.92 and 2,285.30 is: 3,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.30 : 12,661.92 = 2,285.30 : x
  2. Step 2: Convert to fraction form
    8,441.30/12,661.92 = 2,285.30/x
  3. Step 3: Cross multiply
    8,441.30x = 12,661.92 × 2,285.30
  4. Step 4: Simplify right side
    8,441.30x = 28,936,285.78
  5. Step 5: Solve for x
    x = 28,936,285.78/8,441.30
  6. Step 6: Final answer
    x = 3,427.94

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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.