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Finding the Fourth Proportional to 8,546.00, 11,793.65 and 4,769.16

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Solution

The fourth proportional to 8,546.00, 11,793.65 and 4,769.16 is: 6,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.00 : 11,793.65 = 4,769.16 : x
  2. Step 2: Convert to fraction form
    8,546.00/11,793.65 = 4,769.16/x
  3. Step 3: Cross multiply
    8,546.00x = 11,793.65 × 4,769.16
  4. Step 4: Simplify right side
    8,546.00x = 56,245,779.99
  5. Step 5: Solve for x
    x = 56,245,779.99/8,546.00
  6. Step 6: Final answer
    x = 6,581.54

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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.