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Finding the Fourth Proportional to 8,287.42, 12,431.05 and 2,443.94

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Solution

The fourth proportional to 8,287.42, 12,431.05 and 2,443.94 is: 3,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.42 : 12,431.05 = 2,443.94 : x
  2. Step 2: Convert to fraction form
    8,287.42/12,431.05 = 2,443.94/x
  3. Step 3: Cross multiply
    8,287.42x = 12,431.05 × 2,443.94
  4. Step 4: Simplify right side
    8,287.42x = 30,380,740.34
  5. Step 5: Solve for x
    x = 30,380,740.34/8,287.42
  6. Step 6: Final answer
    x = 3,665.89

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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.