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Finding the Fourth Proportional to 11,887.56, 17,834.13 and 3,567.42

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Solution

The fourth proportional to 11,887.56, 17,834.13 and 3,567.42 is: 5,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.56 : 17,834.13 = 3,567.42 : x
  2. Step 2: Convert to fraction form
    11,887.56/17,834.13 = 3,567.42/x
  3. Step 3: Cross multiply
    11,887.56x = 17,834.13 × 3,567.42
  4. Step 4: Simplify right side
    11,887.56x = 63,621,832.04
  5. Step 5: Solve for x
    x = 63,621,832.04/11,887.56
  6. Step 6: Final answer
    x = 5,351.97

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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.