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Finding the Fourth Proportional to 8,546.88, 11,794.36 and 4,769.86

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Solution

The fourth proportional to 8,546.88, 11,794.36 and 4,769.86 is: 6,582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.88 : 11,794.36 = 4,769.86 : x
  2. Step 2: Convert to fraction form
    8,546.88/11,794.36 = 4,769.86/x
  3. Step 3: Cross multiply
    8,546.88x = 11,794.36 × 4,769.86
  4. Step 4: Simplify right side
    8,546.88x = 56,257,445.99
  5. Step 5: Solve for x
    x = 56,257,445.99/8,546.88
  6. Step 6: Final answer
    x = 6,582.22

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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.