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Finding the Fourth Proportional to 28,717.50, 43,076.28 and 7,941

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Solution

The fourth proportional to 28,717.50, 43,076.28 and 7,941 is: 11,911.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,717.50 : 43,076.28 = 7,941 : x
  2. Step 2: Convert to fraction form
    28,717.50/43,076.28 = 7,941/x
  3. Step 3: Cross multiply
    28,717.50x = 43,076.28 × 7,941
  4. Step 4: Simplify right side
    28,717.50x = 342,068,739.48
  5. Step 5: Solve for x
    x = 342,068,739.48/28,717.50
  6. Step 6: Final answer
    x = 11,911.51

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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.