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Finding the Fourth Proportional to 8,379.12, 11,563.20 and 4,842.32

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Solution

The fourth proportional to 8,379.12, 11,563.20 and 4,842.32 is: 6,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.12 : 11,563.20 = 4,842.32 : x
  2. Step 2: Convert to fraction form
    8,379.12/11,563.20 = 4,842.32/x
  3. Step 3: Cross multiply
    8,379.12x = 11,563.20 × 4,842.32
  4. Step 4: Simplify right side
    8,379.12x = 55,992,714.62
  5. Step 5: Solve for x
    x = 55,992,714.62/8,379.12
  6. Step 6: Final answer
    x = 6,682.41

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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.