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Finding the Fourth Proportional to 11,811.73, 17,705.44 and 5,241.01

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Solution

The fourth proportional to 11,811.73, 17,705.44 and 5,241.01 is: 7,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.73 : 17,705.44 = 5,241.01 : x
  2. Step 2: Convert to fraction form
    11,811.73/17,705.44 = 5,241.01/x
  3. Step 3: Cross multiply
    11,811.73x = 17,705.44 × 5,241.01
  4. Step 4: Simplify right side
    11,811.73x = 92,794,361.89
  5. Step 5: Solve for x
    x = 92,794,361.89/11,811.73
  6. Step 6: Final answer
    x = 7,856.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.