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Finding the Fourth Proportional to 8,076.20, 11,176.26 and 7,881.80

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Solution

The fourth proportional to 8,076.20, 11,176.26 and 7,881.80 is: 10,907.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.20 : 11,176.26 = 7,881.80 : x
  2. Step 2: Convert to fraction form
    8,076.20/11,176.26 = 7,881.80/x
  3. Step 3: Cross multiply
    8,076.20x = 11,176.26 × 7,881.80
  4. Step 4: Simplify right side
    8,076.20x = 88,089,046.07
  5. Step 5: Solve for x
    x = 88,089,046.07/8,076.20
  6. Step 6: Final answer
    x = 10,907.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.