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Finding the Fourth Proportional to 8,843.63, 12,205.89 and 5,259.38

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Solution

The fourth proportional to 8,843.63, 12,205.89 and 5,259.38 is: 7,258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,843.63 : 12,205.89 = 5,259.38 : x
  2. Step 2: Convert to fraction form
    8,843.63/12,205.89 = 5,259.38/x
  3. Step 3: Cross multiply
    8,843.63x = 12,205.89 × 5,259.38
  4. Step 4: Simplify right side
    8,843.63x = 64,195,352.72
  5. Step 5: Solve for x
    x = 64,195,352.72/8,843.63
  6. Step 6: Final answer
    x = 7,258.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.