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Finding the Fourth Proportional to 8,222.24, 12,326 and 3,024.48

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Solution

The fourth proportional to 8,222.24, 12,326 and 3,024.48 is: 4,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.24 : 12,326 = 3,024.48 : x
  2. Step 2: Convert to fraction form
    8,222.24/12,326 = 3,024.48/x
  3. Step 3: Cross multiply
    8,222.24x = 12,326 × 3,024.48
  4. Step 4: Simplify right side
    8,222.24x = 37,279,740.48
  5. Step 5: Solve for x
    x = 37,279,740.48/8,222.24
  6. Step 6: Final answer
    x = 4,534.01

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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.