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Finding the Fourth Proportional to 27,858.63, 41,787.24 and 6,798.74

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Solution

The fourth proportional to 27,858.63, 41,787.24 and 6,798.74 is: 10,197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858.63 : 41,787.24 = 6,798.74 : x
  2. Step 2: Convert to fraction form
    27,858.63/41,787.24 = 6,798.74/x
  3. Step 3: Cross multiply
    27,858.63x = 41,787.24 × 6,798.74
  4. Step 4: Simplify right side
    27,858.63x = 284,100,383.89
  5. Step 5: Solve for x
    x = 284,100,383.89/27,858.63
  6. Step 6: Final answer
    x = 10,197.93

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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.