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Finding the Fourth Proportional to 11,882.35, 17,823.48 and 3,563.25

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Solution

The fourth proportional to 11,882.35, 17,823.48 and 3,563.25 is: 5,344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.35 : 17,823.48 = 3,563.25 : x
  2. Step 2: Convert to fraction form
    11,882.35/17,823.48 = 3,563.25/x
  3. Step 3: Cross multiply
    11,882.35x = 17,823.48 × 3,563.25
  4. Step 4: Simplify right side
    11,882.35x = 63,509,515.11
  5. Step 5: Solve for x
    x = 63,509,515.11/11,882.35
  6. Step 6: Final answer
    x = 5,344.86

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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.