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Finding the Fourth Proportional to 8,591.43, 11,856.18 and 4,865.43

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Solution

The fourth proportional to 8,591.43, 11,856.18 and 4,865.43 is: 6,714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591.43 : 11,856.18 = 4,865.43 : x
  2. Step 2: Convert to fraction form
    8,591.43/11,856.18 = 4,865.43/x
  3. Step 3: Cross multiply
    8,591.43x = 11,856.18 × 4,865.43
  4. Step 4: Simplify right side
    8,591.43x = 57,685,413.86
  5. Step 5: Solve for x
    x = 57,685,413.86/8,591.43
  6. Step 6: Final answer
    x = 6,714.30

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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.