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Finding the Fourth Proportional to 7,763.80, 11,647.41 and 2,217.02

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Solution

The fourth proportional to 7,763.80, 11,647.41 and 2,217.02 is: 3,326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.80 : 11,647.41 = 2,217.02 : x
  2. Step 2: Convert to fraction form
    7,763.80/11,647.41 = 2,217.02/x
  3. Step 3: Cross multiply
    7,763.80x = 11,647.41 × 2,217.02
  4. Step 4: Simplify right side
    7,763.80x = 25,822,540.92
  5. Step 5: Solve for x
    x = 25,822,540.92/7,763.80
  6. Step 6: Final answer
    x = 3,326.02

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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.