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Finding the Fourth Proportional to 7,884.34, 11,826.16 and 1,961.09

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Solution

The fourth proportional to 7,884.34, 11,826.16 and 1,961.09 is: 2,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.34 : 11,826.16 = 1,961.09 : x
  2. Step 2: Convert to fraction form
    7,884.34/11,826.16 = 1,961.09/x
  3. Step 3: Cross multiply
    7,884.34x = 11,826.16 × 1,961.09
  4. Step 4: Simplify right side
    7,884.34x = 23,192,210.95
  5. Step 5: Solve for x
    x = 23,192,210.95/7,884.34
  6. Step 6: Final answer
    x = 2,941.55

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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.