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Finding the Fourth Proportional to 8,224.84, 12,336.04 and 3,029.50

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Solution

The fourth proportional to 8,224.84, 12,336.04 and 3,029.50 is: 4,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.84 : 12,336.04 = 3,029.50 : x
  2. Step 2: Convert to fraction form
    8,224.84/12,336.04 = 3,029.50/x
  3. Step 3: Cross multiply
    8,224.84x = 12,336.04 × 3,029.50
  4. Step 4: Simplify right side
    8,224.84x = 37,372,033.18
  5. Step 5: Solve for x
    x = 37,372,033.18/8,224.84
  6. Step 6: Final answer
    x = 4,543.80

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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.