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Finding the Fourth Proportional to 11,234.94, 16,852.41 and 3,835.68

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Solution

The fourth proportional to 11,234.94, 16,852.41 and 3,835.68 is: 5,753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.94 : 16,852.41 = 3,835.68 : x
  2. Step 2: Convert to fraction form
    11,234.94/16,852.41 = 3,835.68/x
  3. Step 3: Cross multiply
    11,234.94x = 16,852.41 × 3,835.68
  4. Step 4: Simplify right side
    11,234.94x = 64,640,451.99
  5. Step 5: Solve for x
    x = 64,640,451.99/11,234.94
  6. Step 6: Final answer
    x = 5,753.52

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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.