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Finding the Fourth Proportional to 26,803.76, 40,194.84 and 8,078

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Solution

The fourth proportional to 26,803.76, 40,194.84 and 8,078 is: 12,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,803.76 : 40,194.84 = 8,078 : x
  2. Step 2: Convert to fraction form
    26,803.76/40,194.84 = 8,078/x
  3. Step 3: Cross multiply
    26,803.76x = 40,194.84 × 8,078
  4. Step 4: Simplify right side
    26,803.76x = 324,693,917.52
  5. Step 5: Solve for x
    x = 324,693,917.52/26,803.76
  6. Step 6: Final answer
    x = 12,113.75

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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.