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Finding the Fourth Proportional to 8,223.84, 12,334.80 and 3,293.28

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Solution

The fourth proportional to 8,223.84, 12,334.80 and 3,293.28 is: 4,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.84 : 12,334.80 = 3,293.28 : x
  2. Step 2: Convert to fraction form
    8,223.84/12,334.80 = 3,293.28/x
  3. Step 3: Cross multiply
    8,223.84x = 12,334.80 × 3,293.28
  4. Step 4: Simplify right side
    8,223.84x = 40,621,950.14
  5. Step 5: Solve for x
    x = 40,621,950.14/8,223.84
  6. Step 6: Final answer
    x = 4,939.54

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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.