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Finding the Fourth Proportional to 8,287.40, 12,431.90 and 2,445.68

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Solution

The fourth proportional to 8,287.40, 12,431.90 and 2,445.68 is: 3,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.40 : 12,431.90 = 2,445.68 : x
  2. Step 2: Convert to fraction form
    8,287.40/12,431.90 = 2,445.68/x
  3. Step 3: Cross multiply
    8,287.40x = 12,431.90 × 2,445.68
  4. Step 4: Simplify right side
    8,287.40x = 30,404,387.03
  5. Step 5: Solve for x
    x = 30,404,387.03/8,287.40
  6. Step 6: Final answer
    x = 3,668.75

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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.