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Finding the Fourth Proportional to 27,963, 41,944.50 and 7,186.50

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Solution

The fourth proportional to 27,963, 41,944.50 and 7,186.50 is: 10,779.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,963 : 41,944.50 = 7,186.50 : x
  2. Step 2: Convert to fraction form
    27,963/41,944.50 = 7,186.50/x
  3. Step 3: Cross multiply
    27,963x = 41,944.50 × 7,186.50
  4. Step 4: Simplify right side
    27,963x = 301,434,149.25
  5. Step 5: Solve for x
    x = 301,434,149.25/27,963
  6. Step 6: Final answer
    x = 10,779.75

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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.