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Finding the Fourth Proportional to 11,427.99, 15,770.35 and 6,392.43

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Solution

The fourth proportional to 11,427.99, 15,770.35 and 6,392.43 is: 8,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427.99 : 15,770.35 = 6,392.43 : x
  2. Step 2: Convert to fraction form
    11,427.99/15,770.35 = 6,392.43/x
  3. Step 3: Cross multiply
    11,427.99x = 15,770.35 × 6,392.43
  4. Step 4: Simplify right side
    11,427.99x = 100,810,786.13
  5. Step 5: Solve for x
    x = 100,810,786.13/11,427.99
  6. Step 6: Final answer
    x = 8,821.39

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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.