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Finding the Fourth Proportional to 8,481.30, 11,687.86 and 5,645.49

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Solution

The fourth proportional to 8,481.30, 11,687.86 and 5,645.49 is: 7,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.30 : 11,687.86 = 5,645.49 : x
  2. Step 2: Convert to fraction form
    8,481.30/11,687.86 = 5,645.49/x
  3. Step 3: Cross multiply
    8,481.30x = 11,687.86 × 5,645.49
  4. Step 4: Simplify right side
    8,481.30x = 65,983,696.75
  5. Step 5: Solve for x
    x = 65,983,696.75/8,481.30
  6. Step 6: Final answer
    x = 7,779.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.