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Finding the Fourth Proportional to 8,595, 11,861.10 and 4,869

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Solution

The fourth proportional to 8,595, 11,861.10 and 4,869 is: 6,719.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,595 : 11,861.10 = 4,869 : x
  2. Step 2: Convert to fraction form
    8,595/11,861.10 = 4,869/x
  3. Step 3: Cross multiply
    8,595x = 11,861.10 × 4,869
  4. Step 4: Simplify right side
    8,595x = 57,751,695.90
  5. Step 5: Solve for x
    x = 57,751,695.90/8,595
  6. Step 6: Final answer
    x = 6,719.22

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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.