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Finding the Fourth Proportional to 11,708.44, 16,157.93 and 6,403.66

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Solution

The fourth proportional to 11,708.44, 16,157.93 and 6,403.66 is: 8,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.44 : 16,157.93 = 6,403.66 : x
  2. Step 2: Convert to fraction form
    11,708.44/16,157.93 = 6,403.66/x
  3. Step 3: Cross multiply
    11,708.44x = 16,157.93 × 6,403.66
  4. Step 4: Simplify right side
    11,708.44x = 103,469,890.02
  5. Step 5: Solve for x
    x = 103,469,890.02/11,708.44
  6. Step 6: Final answer
    x = 8,837.21

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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.