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Finding the Fourth Proportional to 11,486.26, 15,851.34 and 6,450.88

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Solution

The fourth proportional to 11,486.26, 15,851.34 and 6,450.88 is: 8,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.26 : 15,851.34 = 6,450.88 : x
  2. Step 2: Convert to fraction form
    11,486.26/15,851.34 = 6,450.88/x
  3. Step 3: Cross multiply
    11,486.26x = 15,851.34 × 6,450.88
  4. Step 4: Simplify right side
    11,486.26x = 102,255,092.18
  5. Step 5: Solve for x
    x = 102,255,092.18/11,486.26
  6. Step 6: Final answer
    x = 8,902.38

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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.