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Finding the Fourth Proportional to 7,736.88, 11,604.96 and 1,893.18

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Solution

The fourth proportional to 7,736.88, 11,604.96 and 1,893.18 is: 2,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.88 : 11,604.96 = 1,893.18 : x
  2. Step 2: Convert to fraction form
    7,736.88/11,604.96 = 1,893.18/x
  3. Step 3: Cross multiply
    7,736.88x = 11,604.96 × 1,893.18
  4. Step 4: Simplify right side
    7,736.88x = 21,970,278.17
  5. Step 5: Solve for x
    x = 21,970,278.17/7,736.88
  6. Step 6: Final answer
    x = 2,839.68

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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.