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Finding the Fourth Proportional to 27,085.46, 40,629.27 and 8,363.84

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Solution

The fourth proportional to 27,085.46, 40,629.27 and 8,363.84 is: 12,546.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,085.46 : 40,629.27 = 8,363.84 : x
  2. Step 2: Convert to fraction form
    27,085.46/40,629.27 = 8,363.84/x
  3. Step 3: Cross multiply
    27,085.46x = 40,629.27 × 8,363.84
  4. Step 4: Simplify right side
    27,085.46x = 339,816,713.60
  5. Step 5: Solve for x
    x = 339,816,713.60/27,085.46
  6. Step 6: Final answer
    x = 12,546.09

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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.