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Finding the Fourth Proportional to 8,222, 11,349.24 and 4,910

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Solution

The fourth proportional to 8,222, 11,349.24 and 4,910 is: 6,777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222 : 11,349.24 = 4,910 : x
  2. Step 2: Convert to fraction form
    8,222/11,349.24 = 4,910/x
  3. Step 3: Cross multiply
    8,222x = 11,349.24 × 4,910
  4. Step 4: Simplify right side
    8,222x = 55,724,768.40
  5. Step 5: Solve for x
    x = 55,724,768.40/8,222
  6. Step 6: Final answer
    x = 6,777.52

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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.