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Finding the Fourth Proportional to 8,224.98, 12,336.99 and 2,068.50

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Solution

The fourth proportional to 8,224.98, 12,336.99 and 2,068.50 is: 3,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.98 : 12,336.99 = 2,068.50 : x
  2. Step 2: Convert to fraction form
    8,224.98/12,336.99 = 2,068.50/x
  3. Step 3: Cross multiply
    8,224.98x = 12,336.99 × 2,068.50
  4. Step 4: Simplify right side
    8,224.98x = 25,519,063.82
  5. Step 5: Solve for x
    x = 25,519,063.82/8,224.98
  6. Step 6: Final answer
    x = 3,102.63

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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.