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Finding the Fourth Proportional to 8,605.48, 11,879.73 and 5,771.82

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Solution

The fourth proportional to 8,605.48, 11,879.73 and 5,771.82 is: 7,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.48 : 11,879.73 = 5,771.82 : x
  2. Step 2: Convert to fraction form
    8,605.48/11,879.73 = 5,771.82/x
  3. Step 3: Cross multiply
    8,605.48x = 11,879.73 × 5,771.82
  4. Step 4: Simplify right side
    8,605.48x = 68,567,663.21
  5. Step 5: Solve for x
    x = 68,567,663.21/8,605.48
  6. Step 6: Final answer
    x = 7,967.91

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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.