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Finding the Fourth Proportional to 7,786.90, 11,673.40 and 2,855.39

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Solution

The fourth proportional to 7,786.90, 11,673.40 and 2,855.39 is: 4,280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.90 : 11,673.40 = 2,855.39 : x
  2. Step 2: Convert to fraction form
    7,786.90/11,673.40 = 2,855.39/x
  3. Step 3: Cross multiply
    7,786.90x = 11,673.40 × 2,855.39
  4. Step 4: Simplify right side
    7,786.90x = 33,332,080.44
  5. Step 5: Solve for x
    x = 33,332,080.44/7,786.90
  6. Step 6: Final answer
    x = 4,280.53

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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.