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Finding the Fourth Proportional to 8,382.09, 12,568.83 and 4,435.48

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Solution

The fourth proportional to 8,382.09, 12,568.83 and 4,435.48 is: 6,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.09 : 12,568.83 = 4,435.48 : x
  2. Step 2: Convert to fraction form
    8,382.09/12,568.83 = 4,435.48/x
  3. Step 3: Cross multiply
    8,382.09x = 12,568.83 × 4,435.48
  4. Step 4: Simplify right side
    8,382.09x = 55,748,794.09
  5. Step 5: Solve for x
    x = 55,748,794.09/8,382.09
  6. Step 6: Final answer
    x = 6,650.94

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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.