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Finding the Fourth Proportional to 8,589, 11,852.74 and 4,863

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Solution

The fourth proportional to 8,589, 11,852.74 and 4,863 is: 6,710.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589 : 11,852.74 = 4,863 : x
  2. Step 2: Convert to fraction form
    8,589/11,852.74 = 4,863/x
  3. Step 3: Cross multiply
    8,589x = 11,852.74 × 4,863
  4. Step 4: Simplify right side
    8,589x = 57,639,874.62
  5. Step 5: Solve for x
    x = 57,639,874.62/8,589
  6. Step 6: Final answer
    x = 6,710.89

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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.