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Finding the Fourth Proportional to 27,943.62, 41,915.04 and 6,883.90

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Solution

The fourth proportional to 27,943.62, 41,915.04 and 6,883.90 is: 10,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,943.62 : 41,915.04 = 6,883.90 : x
  2. Step 2: Convert to fraction form
    27,943.62/41,915.04 = 6,883.90/x
  3. Step 3: Cross multiply
    27,943.62x = 41,915.04 × 6,883.90
  4. Step 4: Simplify right side
    27,943.62x = 288,538,943.86
  5. Step 5: Solve for x
    x = 288,538,943.86/27,943.62
  6. Step 6: Final answer
    x = 10,325.75

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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.