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Finding the Fourth Proportional to 8,409.86, 11,605.67 and 4,633.16

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Solution

The fourth proportional to 8,409.86, 11,605.67 and 4,633.16 is: 6,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.86 : 11,605.67 = 4,633.16 : x
  2. Step 2: Convert to fraction form
    8,409.86/11,605.67 = 4,633.16/x
  3. Step 3: Cross multiply
    8,409.86x = 11,605.67 × 4,633.16
  4. Step 4: Simplify right side
    8,409.86x = 53,770,844.82
  5. Step 5: Solve for x
    x = 53,770,844.82/8,409.86
  6. Step 6: Final answer
    x = 6,393.79

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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.