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Finding the Fourth Proportional to 8,285.76, 12,428.91 and 2,441.88

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Solution

The fourth proportional to 8,285.76, 12,428.91 and 2,441.88 is: 3,662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.76 : 12,428.91 = 2,441.88 : x
  2. Step 2: Convert to fraction form
    8,285.76/12,428.91 = 2,441.88/x
  3. Step 3: Cross multiply
    8,285.76x = 12,428.91 × 2,441.88
  4. Step 4: Simplify right side
    8,285.76x = 30,349,906.75
  5. Step 5: Solve for x
    x = 30,349,906.75/8,285.76
  6. Step 6: Final answer
    x = 3,662.90

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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.