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Finding the Fourth Proportional to 7,967.44, 11,949.82 and 2,419.44

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Solution

The fourth proportional to 7,967.44, 11,949.82 and 2,419.44 is: 3,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.44 : 11,949.82 = 2,419.44 : x
  2. Step 2: Convert to fraction form
    7,967.44/11,949.82 = 2,419.44/x
  3. Step 3: Cross multiply
    7,967.44x = 11,949.82 × 2,419.44
  4. Step 4: Simplify right side
    7,967.44x = 28,911,872.50
  5. Step 5: Solve for x
    x = 28,911,872.50/7,967.44
  6. Step 6: Final answer
    x = 3,628.75

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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.