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Finding the Fourth Proportional to 7,762.86, 11,635.79 and 3,601.62

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Solution

The fourth proportional to 7,762.86, 11,635.79 and 3,601.62 is: 5,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.86 : 11,635.79 = 3,601.62 : x
  2. Step 2: Convert to fraction form
    7,762.86/11,635.79 = 3,601.62/x
  3. Step 3: Cross multiply
    7,762.86x = 11,635.79 × 3,601.62
  4. Step 4: Simplify right side
    7,762.86x = 41,907,675.97
  5. Step 5: Solve for x
    x = 41,907,675.97/7,762.86
  6. Step 6: Final answer
    x = 5,398.48

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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.