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Finding the Fourth Proportional to 27,915.07, 41,872.89 and 8,194

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Solution

The fourth proportional to 27,915.07, 41,872.89 and 8,194 is: 12,291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,915.07 : 41,872.89 = 8,194 : x
  2. Step 2: Convert to fraction form
    27,915.07/41,872.89 = 8,194/x
  3. Step 3: Cross multiply
    27,915.07x = 41,872.89 × 8,194
  4. Step 4: Simplify right side
    27,915.07x = 343,106,460.66
  5. Step 5: Solve for x
    x = 343,106,460.66/27,915.07
  6. Step 6: Final answer
    x = 12,291.08

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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.