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Finding the Fourth Proportional to 11,713.26, 16,163.91 and 6,994.74

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Solution

The fourth proportional to 11,713.26, 16,163.91 and 6,994.74 is: 9,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.26 : 16,163.91 = 6,994.74 : x
  2. Step 2: Convert to fraction form
    11,713.26/16,163.91 = 6,994.74/x
  3. Step 3: Cross multiply
    11,713.26x = 16,163.91 × 6,994.74
  4. Step 4: Simplify right side
    11,713.26x = 113,062,347.83
  5. Step 5: Solve for x
    x = 113,062,347.83/11,713.26
  6. Step 6: Final answer
    x = 9,652.51

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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.