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Finding the Fourth Proportional to 8,214.38, 11,335.85 and 4,488.38

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Solution

The fourth proportional to 8,214.38, 11,335.85 and 4,488.38 is: 6,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.38 : 11,335.85 = 4,488.38 : x
  2. Step 2: Convert to fraction form
    8,214.38/11,335.85 = 4,488.38/x
  3. Step 3: Cross multiply
    8,214.38x = 11,335.85 × 4,488.38
  4. Step 4: Simplify right side
    8,214.38x = 50,879,523.30
  5. Step 5: Solve for x
    x = 50,879,523.30/8,214.38
  6. Step 6: Final answer
    x = 6,193.96

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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.