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Finding the Fourth Proportional to 11,568.72, 17,355.82 and 3,777.50

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Solution

The fourth proportional to 11,568.72, 17,355.82 and 3,777.50 is: 5,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.72 : 17,355.82 = 3,777.50 : x
  2. Step 2: Convert to fraction form
    11,568.72/17,355.82 = 3,777.50/x
  3. Step 3: Cross multiply
    11,568.72x = 17,355.82 × 3,777.50
  4. Step 4: Simplify right side
    11,568.72x = 65,561,610.05
  5. Step 5: Solve for x
    x = 65,561,610.05/11,568.72
  6. Step 6: Final answer
    x = 5,667.14

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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.