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Finding the Fourth Proportional to 11,474.68, 17,212.02 and 3,688.96

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Solution

The fourth proportional to 11,474.68, 17,212.02 and 3,688.96 is: 5,533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.68 : 17,212.02 = 3,688.96 : x
  2. Step 2: Convert to fraction form
    11,474.68/17,212.02 = 3,688.96/x
  3. Step 3: Cross multiply
    11,474.68x = 17,212.02 × 3,688.96
  4. Step 4: Simplify right side
    11,474.68x = 63,494,396.44
  5. Step 5: Solve for x
    x = 63,494,396.44/11,474.68
  6. Step 6: Final answer
    x = 5,533.44

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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.