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Finding the Fourth Proportional to 13,309.88, 18,375 and 8,006

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Solution

The fourth proportional to 13,309.88, 18,375 and 8,006 is: 11,052.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.88 : 18,375 = 8,006 : x
  2. Step 2: Convert to fraction form
    13,309.88/18,375 = 8,006/x
  3. Step 3: Cross multiply
    13,309.88x = 18,375 × 8,006
  4. Step 4: Simplify right side
    13,309.88x = 147,110,250
  5. Step 5: Solve for x
    x = 147,110,250/13,309.88
  6. Step 6: Final answer
    x = 11,052.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.