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Finding the Fourth Proportional to 11,713.11, 16,163.96 and 6,407.86

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Solution

The fourth proportional to 11,713.11, 16,163.96 and 6,407.86 is: 8,842.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.11 : 16,163.96 = 6,407.86 : x
  2. Step 2: Convert to fraction form
    11,713.11/16,163.96 = 6,407.86/x
  3. Step 3: Cross multiply
    11,713.11x = 16,163.96 × 6,407.86
  4. Step 4: Simplify right side
    11,713.11x = 103,576,350.58
  5. Step 5: Solve for x
    x = 103,576,350.58/11,713.11
  6. Step 6: Final answer
    x = 8,842.77

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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.