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Finding the Fourth Proportional to 8,636.38, 11,919.35 and 6,404.62

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Solution

The fourth proportional to 8,636.38, 11,919.35 and 6,404.62 is: 8,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,636.38 : 11,919.35 = 6,404.62 : x
  2. Step 2: Convert to fraction form
    8,636.38/11,919.35 = 6,404.62/x
  3. Step 3: Cross multiply
    8,636.38x = 11,919.35 × 6,404.62
  4. Step 4: Simplify right side
    8,636.38x = 76,338,907.40
  5. Step 5: Solve for x
    x = 76,338,907.40/8,636.38
  6. Step 6: Final answer
    x = 8,839.23

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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.