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Finding the Fourth Proportional to 11,661.81, 16,092.84 and 6,356.31

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Solution

The fourth proportional to 11,661.81, 16,092.84 and 6,356.31 is: 8,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.81 : 16,092.84 = 6,356.31 : x
  2. Step 2: Convert to fraction form
    11,661.81/16,092.84 = 6,356.31/x
  3. Step 3: Cross multiply
    11,661.81x = 16,092.84 × 6,356.31
  4. Step 4: Simplify right side
    11,661.81x = 102,291,079.82
  5. Step 5: Solve for x
    x = 102,291,079.82/11,661.81
  6. Step 6: Final answer
    x = 8,771.46

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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.