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Finding the Fourth Proportional to 27,787.35, 41,679.54 and 7,798.20

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Solution

The fourth proportional to 27,787.35, 41,679.54 and 7,798.20 is: 11,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,787.35 : 41,679.54 = 7,798.20 : x
  2. Step 2: Convert to fraction form
    27,787.35/41,679.54 = 7,798.20/x
  3. Step 3: Cross multiply
    27,787.35x = 41,679.54 × 7,798.20
  4. Step 4: Simplify right side
    27,787.35x = 325,025,388.83
  5. Step 5: Solve for x
    x = 325,025,388.83/27,787.35
  6. Step 6: Final answer
    x = 11,696.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.