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Finding the Fourth Proportional to 11,584.49, 15,987.86 and 6,481.85

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Solution

The fourth proportional to 11,584.49, 15,987.86 and 6,481.85 is: 8,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.49 : 15,987.86 = 6,481.85 : x
  2. Step 2: Convert to fraction form
    11,584.49/15,987.86 = 6,481.85/x
  3. Step 3: Cross multiply
    11,584.49x = 15,987.86 × 6,481.85
  4. Step 4: Simplify right side
    11,584.49x = 103,630,917.90
  5. Step 5: Solve for x
    x = 103,630,917.90/11,584.49
  6. Step 6: Final answer
    x = 8,945.66

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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.