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Finding the Fourth Proportional to 8,233, 11,362.98 and 4,921

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Solution

The fourth proportional to 8,233, 11,362.98 and 4,921 is: 6,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233 : 11,362.98 = 4,921 : x
  2. Step 2: Convert to fraction form
    8,233/11,362.98 = 4,921/x
  3. Step 3: Cross multiply
    8,233x = 11,362.98 × 4,921
  4. Step 4: Simplify right side
    8,233x = 55,917,224.58
  5. Step 5: Solve for x
    x = 55,917,224.58/8,233
  6. Step 6: Final answer
    x = 6,791.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.