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Finding the Fourth Proportional to 19,092.75, 28,629.75 and 7,846.05

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Solution

The fourth proportional to 19,092.75, 28,629.75 and 7,846.05 is: 11,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,092.75 : 28,629.75 = 7,846.05 : x
  2. Step 2: Convert to fraction form
    19,092.75/28,629.75 = 7,846.05/x
  3. Step 3: Cross multiply
    19,092.75x = 28,629.75 × 7,846.05
  4. Step 4: Simplify right side
    19,092.75x = 224,630,479.41
  5. Step 5: Solve for x
    x = 224,630,479.41/19,092.75
  6. Step 6: Final answer
    x = 11,765.22

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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.