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Finding the Fourth Proportional to 11,474.78, 17,212.20 and 3,154.46

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Solution

The fourth proportional to 11,474.78, 17,212.20 and 3,154.46 is: 4,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.78 : 17,212.20 = 3,154.46 : x
  2. Step 2: Convert to fraction form
    11,474.78/17,212.20 = 3,154.46/x
  3. Step 3: Cross multiply
    11,474.78x = 17,212.20 × 3,154.46
  4. Step 4: Simplify right side
    11,474.78x = 54,295,196.41
  5. Step 5: Solve for x
    x = 54,295,196.41/11,474.78
  6. Step 6: Final answer
    x = 4,731.70

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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.