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Finding the Fourth Proportional to 11,188, 16,783.62 and 3,396.82

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Solution

The fourth proportional to 11,188, 16,783.62 and 3,396.82 is: 5,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188 : 16,783.62 = 3,396.82 : x
  2. Step 2: Convert to fraction form
    11,188/16,783.62 = 3,396.82/x
  3. Step 3: Cross multiply
    11,188x = 16,783.62 × 3,396.82
  4. Step 4: Simplify right side
    11,188x = 57,010,936.09
  5. Step 5: Solve for x
    x = 57,010,936.09/11,188
  6. Step 6: Final answer
    x = 5,095.72

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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.