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Finding the Fourth Proportional to 8,633.62, 11,914.05 and 4,856.86

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Solution

The fourth proportional to 8,633.62, 11,914.05 and 4,856.86 is: 6,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.62 : 11,914.05 = 4,856.86 : x
  2. Step 2: Convert to fraction form
    8,633.62/11,914.05 = 4,856.86/x
  3. Step 3: Cross multiply
    8,633.62x = 11,914.05 × 4,856.86
  4. Step 4: Simplify right side
    8,633.62x = 57,864,872.88
  5. Step 5: Solve for x
    x = 57,864,872.88/8,633.62
  6. Step 6: Final answer
    x = 6,702.27

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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.