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Finding the Fourth Proportional to 11,711.25, 16,161.93 and 6,406.29

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Solution

The fourth proportional to 11,711.25, 16,161.93 and 6,406.29 is: 8,840.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.25 : 16,161.93 = 6,406.29 : x
  2. Step 2: Convert to fraction form
    11,711.25/16,161.93 = 6,406.29/x
  3. Step 3: Cross multiply
    11,711.25x = 16,161.93 × 6,406.29
  4. Step 4: Simplify right side
    11,711.25x = 103,538,010.54
  5. Step 5: Solve for x
    x = 103,538,010.54/11,711.25
  6. Step 6: Final answer
    x = 8,840.90

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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.