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Finding the Fourth Proportional to 8,287.89, 12,431.81 and 2,448.60

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Solution

The fourth proportional to 8,287.89, 12,431.81 and 2,448.60 is: 3,672.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.89 : 12,431.81 = 2,448.60 : x
  2. Step 2: Convert to fraction form
    8,287.89/12,431.81 = 2,448.60/x
  3. Step 3: Cross multiply
    8,287.89x = 12,431.81 × 2,448.60
  4. Step 4: Simplify right side
    8,287.89x = 30,440,455.56
  5. Step 5: Solve for x
    x = 30,440,455.56/8,287.89
  6. Step 6: Final answer
    x = 3,672.89

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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.