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Finding the Fourth Proportional to 7,777.51, 11,662.48 and 2,843.80

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Solution

The fourth proportional to 7,777.51, 11,662.48 and 2,843.80 is: 4,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.51 : 11,662.48 = 2,843.80 : x
  2. Step 2: Convert to fraction form
    7,777.51/11,662.48 = 2,843.80/x
  3. Step 3: Cross multiply
    7,777.51x = 11,662.48 × 2,843.80
  4. Step 4: Simplify right side
    7,777.51x = 33,165,760.62
  5. Step 5: Solve for x
    x = 33,165,760.62/7,777.51
  6. Step 6: Final answer
    x = 4,264.32

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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.