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Finding the Fourth Proportional to 7,289.98, 10,932.06 and 2,608.42

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Solution

The fourth proportional to 7,289.98, 10,932.06 and 2,608.42 is: 3,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.98 : 10,932.06 = 2,608.42 : x
  2. Step 2: Convert to fraction form
    7,289.98/10,932.06 = 2,608.42/x
  3. Step 3: Cross multiply
    7,289.98x = 10,932.06 × 2,608.42
  4. Step 4: Simplify right side
    7,289.98x = 28,515,403.95
  5. Step 5: Solve for x
    x = 28,515,403.95/7,289.98
  6. Step 6: Final answer
    x = 3,911.59

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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.