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Finding the Fourth Proportional to 8,021.59, 11,072.84 and 7,180.78

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Solution

The fourth proportional to 8,021.59, 11,072.84 and 7,180.78 is: 9,912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.59 : 11,072.84 = 7,180.78 : x
  2. Step 2: Convert to fraction form
    8,021.59/11,072.84 = 7,180.78/x
  3. Step 3: Cross multiply
    8,021.59x = 11,072.84 × 7,180.78
  4. Step 4: Simplify right side
    8,021.59x = 79,511,628.02
  5. Step 5: Solve for x
    x = 79,511,628.02/8,021.59
  6. Step 6: Final answer
    x = 9,912.20

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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.