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Finding the Fourth Proportional to 11,780.01, 17,672.75 and 3,882.25

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Solution

The fourth proportional to 11,780.01, 17,672.75 and 3,882.25 is: 5,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.01 : 17,672.75 = 3,882.25 : x
  2. Step 2: Convert to fraction form
    11,780.01/17,672.75 = 3,882.25/x
  3. Step 3: Cross multiply
    11,780.01x = 17,672.75 × 3,882.25
  4. Step 4: Simplify right side
    11,780.01x = 68,610,033.69
  5. Step 5: Solve for x
    x = 68,610,033.69/11,780.01
  6. Step 6: Final answer
    x = 5,824.28

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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.