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Finding the Fourth Proportional to 7,847.44, 11,771.19 and 1,924.36

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Solution

The fourth proportional to 7,847.44, 11,771.19 and 1,924.36 is: 2,886.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.44 : 11,771.19 = 1,924.36 : x
  2. Step 2: Convert to fraction form
    7,847.44/11,771.19 = 1,924.36/x
  3. Step 3: Cross multiply
    7,847.44x = 11,771.19 × 1,924.36
  4. Step 4: Simplify right side
    7,847.44x = 22,651,968.14
  5. Step 5: Solve for x
    x = 22,651,968.14/7,847.44
  6. Step 6: Final answer
    x = 2,886.54

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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.