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Finding the Fourth Proportional to 7,736.83, 11,605.14 and 1,893.49

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Solution

The fourth proportional to 7,736.83, 11,605.14 and 1,893.49 is: 2,840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.83 : 11,605.14 = 1,893.49 : x
  2. Step 2: Convert to fraction form
    7,736.83/11,605.14 = 1,893.49/x
  3. Step 3: Cross multiply
    7,736.83x = 11,605.14 × 1,893.49
  4. Step 4: Simplify right side
    7,736.83x = 21,974,216.54
  5. Step 5: Solve for x
    x = 21,974,216.54/7,736.83
  6. Step 6: Final answer
    x = 2,840.21

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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.