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Finding the Fourth Proportional to 11,416.83, 17,123.86 and 3,096.33

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Solution

The fourth proportional to 11,416.83, 17,123.86 and 3,096.33 is: 4,644.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.83 : 17,123.86 = 3,096.33 : x
  2. Step 2: Convert to fraction form
    11,416.83/17,123.86 = 3,096.33/x
  3. Step 3: Cross multiply
    11,416.83x = 17,123.86 × 3,096.33
  4. Step 4: Simplify right side
    11,416.83x = 53,021,121.43
  5. Step 5: Solve for x
    x = 53,021,121.43/11,416.83
  6. Step 6: Final answer
    x = 4,644.12

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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.