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Finding the Fourth Proportional to 7,738.71, 11,608.05 and 2,808.33

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Solution

The fourth proportional to 7,738.71, 11,608.05 and 2,808.33 is: 4,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.71 : 11,608.05 = 2,808.33 : x
  2. Step 2: Convert to fraction form
    7,738.71/11,608.05 = 2,808.33/x
  3. Step 3: Cross multiply
    7,738.71x = 11,608.05 × 2,808.33
  4. Step 4: Simplify right side
    7,738.71x = 32,599,235.06
  5. Step 5: Solve for x
    x = 32,599,235.06/7,738.71
  6. Step 6: Final answer
    x = 4,212.49

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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.