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Finding the Fourth Proportional to 8,295.69, 12,443.09 and 3,364.01

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Solution

The fourth proportional to 8,295.69, 12,443.09 and 3,364.01 is: 5,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.69 : 12,443.09 = 3,364.01 : x
  2. Step 2: Convert to fraction form
    8,295.69/12,443.09 = 3,364.01/x
  3. Step 3: Cross multiply
    8,295.69x = 12,443.09 × 3,364.01
  4. Step 4: Simplify right side
    8,295.69x = 41,858,600.16
  5. Step 5: Solve for x
    x = 41,858,600.16/8,295.69
  6. Step 6: Final answer
    x = 5,045.83

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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.