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Finding the Fourth Proportional to 8,296.14, 12,442.56 and 2,451.48

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Solution

The fourth proportional to 8,296.14, 12,442.56 and 2,451.48 is: 3,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.14 : 12,442.56 = 2,451.48 : x
  2. Step 2: Convert to fraction form
    8,296.14/12,442.56 = 2,451.48/x
  3. Step 3: Cross multiply
    8,296.14x = 12,442.56 × 2,451.48
  4. Step 4: Simplify right side
    8,296.14x = 30,502,686.99
  5. Step 5: Solve for x
    x = 30,502,686.99/8,296.14
  6. Step 6: Final answer
    x = 3,676.73

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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.