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Finding the Fourth Proportional to 7,842.11, 11,763.75 and 1,998.66

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Solution

The fourth proportional to 7,842.11, 11,763.75 and 1,998.66 is: 2,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.11 : 11,763.75 = 1,998.66 : x
  2. Step 2: Convert to fraction form
    7,842.11/11,763.75 = 1,998.66/x
  3. Step 3: Cross multiply
    7,842.11x = 11,763.75 × 1,998.66
  4. Step 4: Simplify right side
    7,842.11x = 23,511,736.58
  5. Step 5: Solve for x
    x = 23,511,736.58/7,842.11
  6. Step 6: Final answer
    x = 2,998.14

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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.