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Finding the Fourth Proportional to 11,493.56, 17,237.16 and 3,171.62

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Solution

The fourth proportional to 11,493.56, 17,237.16 and 3,171.62 is: 4,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.56 : 17,237.16 = 3,171.62 : x
  2. Step 2: Convert to fraction form
    11,493.56/17,237.16 = 3,171.62/x
  3. Step 3: Cross multiply
    11,493.56x = 17,237.16 × 3,171.62
  4. Step 4: Simplify right side
    11,493.56x = 54,669,721.40
  5. Step 5: Solve for x
    x = 54,669,721.40/11,493.56
  6. Step 6: Final answer
    x = 4,756.55

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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.