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Finding the Fourth Proportional to 11,635.86, 16,052.29 and 7,857.82

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Solution

The fourth proportional to 11,635.86, 16,052.29 and 7,857.82 is: 10,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.86 : 16,052.29 = 7,857.82 : x
  2. Step 2: Convert to fraction form
    11,635.86/16,052.29 = 7,857.82/x
  3. Step 3: Cross multiply
    11,635.86x = 16,052.29 × 7,857.82
  4. Step 4: Simplify right side
    11,635.86x = 126,135,945.63
  5. Step 5: Solve for x
    x = 126,135,945.63/11,635.86
  6. Step 6: Final answer
    x = 10,840.28

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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.