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Finding the Fourth Proportional to 11,162.82, 16,744.34 and 2,842.84

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Solution

The fourth proportional to 11,162.82, 16,744.34 and 2,842.84 is: 4,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.82 : 16,744.34 = 2,842.84 : x
  2. Step 2: Convert to fraction form
    11,162.82/16,744.34 = 2,842.84/x
  3. Step 3: Cross multiply
    11,162.82x = 16,744.34 × 2,842.84
  4. Step 4: Simplify right side
    11,162.82x = 47,601,479.53
  5. Step 5: Solve for x
    x = 47,601,479.53/11,162.82
  6. Step 6: Final answer
    x = 4,264.29

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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.