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Finding the Fourth Proportional to 26,194, 39,292.08 and 7,726

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Solution

The fourth proportional to 26,194, 39,292.08 and 7,726 is: 11,589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,194 : 39,292.08 = 7,726 : x
  2. Step 2: Convert to fraction form
    26,194/39,292.08 = 7,726/x
  3. Step 3: Cross multiply
    26,194x = 39,292.08 × 7,726
  4. Step 4: Simplify right side
    26,194x = 303,570,610.08
  5. Step 5: Solve for x
    x = 303,570,610.08/26,194
  6. Step 6: Final answer
    x = 11,589.32

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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.