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Finding the Fourth Proportional to 7,922.24, 11,883.20 and 2,375.60

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Solution

The fourth proportional to 7,922.24, 11,883.20 and 2,375.60 is: 3,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.24 : 11,883.20 = 2,375.60 : x
  2. Step 2: Convert to fraction form
    7,922.24/11,883.20 = 2,375.60/x
  3. Step 3: Cross multiply
    7,922.24x = 11,883.20 × 2,375.60
  4. Step 4: Simplify right side
    7,922.24x = 28,229,729.92
  5. Step 5: Solve for x
    x = 28,229,729.92/7,922.24
  6. Step 6: Final answer
    x = 3,563.35

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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.