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Finding the Fourth Proportional to 11,857.73, 16,361.30 and 7,142.32

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Solution

The fourth proportional to 11,857.73, 16,361.30 and 7,142.32 is: 9,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.73 : 16,361.30 = 7,142.32 : x
  2. Step 2: Convert to fraction form
    11,857.73/16,361.30 = 7,142.32/x
  3. Step 3: Cross multiply
    11,857.73x = 16,361.30 × 7,142.32
  4. Step 4: Simplify right side
    11,857.73x = 116,857,558.41
  5. Step 5: Solve for x
    x = 116,857,558.41/11,857.73
  6. Step 6: Final answer
    x = 9,854.97

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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.