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Finding the Fourth Proportional to 7,745.76, 11,620.29 and 2,200.80

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Solution

The fourth proportional to 7,745.76, 11,620.29 and 2,200.80 is: 3,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.76 : 11,620.29 = 2,200.80 : x
  2. Step 2: Convert to fraction form
    7,745.76/11,620.29 = 2,200.80/x
  3. Step 3: Cross multiply
    7,745.76x = 11,620.29 × 2,200.80
  4. Step 4: Simplify right side
    7,745.76x = 25,573,934.23
  5. Step 5: Solve for x
    x = 25,573,934.23/7,745.76
  6. Step 6: Final answer
    x = 3,301.67

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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.