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Finding the Fourth Proportional to 8,447.92, 11,657.77 and 4,910.86

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Solution

The fourth proportional to 8,447.92, 11,657.77 and 4,910.86 is: 6,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.92 : 11,657.77 = 4,910.86 : x
  2. Step 2: Convert to fraction form
    8,447.92/11,657.77 = 4,910.86/x
  3. Step 3: Cross multiply
    8,447.92x = 11,657.77 × 4,910.86
  4. Step 4: Simplify right side
    8,447.92x = 57,249,676.38
  5. Step 5: Solve for x
    x = 57,249,676.38/8,447.92
  6. Step 6: Final answer
    x = 6,776.78

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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.