Home / 7,735.82-11,596.80-3,784.84

Finding the Fourth Proportional to 7,735.82, 11,596.80 and 3,784.84

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Solution

The fourth proportional to 7,735.82, 11,596.80 and 3,784.84 is: 5,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.82 : 11,596.80 = 3,784.84 : x
  2. Step 2: Convert to fraction form
    7,735.82/11,596.80 = 3,784.84/x
  3. Step 3: Cross multiply
    7,735.82x = 11,596.80 × 3,784.84
  4. Step 4: Simplify right side
    7,735.82x = 43,892,032.51
  5. Step 5: Solve for x
    x = 43,892,032.51/7,735.82
  6. Step 6: Final answer
    x = 5,673.87

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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.