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Finding the Fourth Proportional to 7,884.23, 11,826 and 1,961.00

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Solution

The fourth proportional to 7,884.23, 11,826 and 1,961.00 is: 2,941.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.23 : 11,826 = 1,961.00 : x
  2. Step 2: Convert to fraction form
    7,884.23/11,826 = 1,961.00/x
  3. Step 3: Cross multiply
    7,884.23x = 11,826 × 1,961.00
  4. Step 4: Simplify right side
    7,884.23x = 23,190,726.87
  5. Step 5: Solve for x
    x = 23,190,726.87/7,884.23
  6. Step 6: Final answer
    x = 2,941.41

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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.