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Finding the Fourth Proportional to 7,782.77, 11,673.84 and 2,236.09

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Solution

The fourth proportional to 7,782.77, 11,673.84 and 2,236.09 is: 3,354.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.77 : 11,673.84 = 2,236.09 : x
  2. Step 2: Convert to fraction form
    7,782.77/11,673.84 = 2,236.09/x
  3. Step 3: Cross multiply
    7,782.77x = 11,673.84 × 2,236.09
  4. Step 4: Simplify right side
    7,782.77x = 26,103,736.09
  5. Step 5: Solve for x
    x = 26,103,736.09/7,782.77
  6. Step 6: Final answer
    x = 3,354.04

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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.