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Finding the Fourth Proportional to 26,608, 39,911.84 and 6,886.48

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Solution

The fourth proportional to 26,608, 39,911.84 and 6,886.48 is: 10,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,608 : 39,911.84 = 6,886.48 : x
  2. Step 2: Convert to fraction form
    26,608/39,911.84 = 6,886.48/x
  3. Step 3: Cross multiply
    26,608x = 39,911.84 × 6,886.48
  4. Step 4: Simplify right side
    26,608x = 274,852,087.92
  5. Step 5: Solve for x
    x = 274,852,087.92/26,608
  6. Step 6: Final answer
    x = 10,329.68

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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.