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Finding the Fourth Proportional to 11,543.50, 17,319.57 and 5,993.38

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Solution

The fourth proportional to 11,543.50, 17,319.57 and 5,993.38 is: 8,992.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.50 : 17,319.57 = 5,993.38 : x
  2. Step 2: Convert to fraction form
    11,543.50/17,319.57 = 5,993.38/x
  3. Step 3: Cross multiply
    11,543.50x = 17,319.57 × 5,993.38
  4. Step 4: Simplify right side
    11,543.50x = 103,802,764.45
  5. Step 5: Solve for x
    x = 103,802,764.45/11,543.50
  6. Step 6: Final answer
    x = 8,992.31

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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.