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Finding the Fourth Proportional to 11,857.10, 17,785.64 and 3,091.99

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Solution

The fourth proportional to 11,857.10, 17,785.64 and 3,091.99 is: 4,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.10 : 17,785.64 = 3,091.99 : x
  2. Step 2: Convert to fraction form
    11,857.10/17,785.64 = 3,091.99/x
  3. Step 3: Cross multiply
    11,857.10x = 17,785.64 × 3,091.99
  4. Step 4: Simplify right side
    11,857.10x = 54,992,932.10
  5. Step 5: Solve for x
    x = 54,992,932.10/11,857.10
  6. Step 6: Final answer
    x = 4,637.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.