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Finding the Fourth Proportional to 11,662.86, 16,094.64 and 6,357.66

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Solution

The fourth proportional to 11,662.86, 16,094.64 and 6,357.66 is: 8,773.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.86 : 16,094.64 = 6,357.66 : x
  2. Step 2: Convert to fraction form
    11,662.86/16,094.64 = 6,357.66/x
  3. Step 3: Cross multiply
    11,662.86x = 16,094.64 × 6,357.66
  4. Step 4: Simplify right side
    11,662.86x = 102,324,248.94
  5. Step 5: Solve for x
    x = 102,324,248.94/11,662.86
  6. Step 6: Final answer
    x = 8,773.51

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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.