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Finding the Fourth Proportional to 7,846.65, 11,770.38 and 2,003.31

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Solution

The fourth proportional to 7,846.65, 11,770.38 and 2,003.31 is: 3,005.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.65 : 11,770.38 = 2,003.31 : x
  2. Step 2: Convert to fraction form
    7,846.65/11,770.38 = 2,003.31/x
  3. Step 3: Cross multiply
    7,846.65x = 11,770.38 × 2,003.31
  4. Step 4: Simplify right side
    7,846.65x = 23,579,651.09
  5. Step 5: Solve for x
    x = 23,579,651.09/7,846.65
  6. Step 6: Final answer
    x = 3,005.06

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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.