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Finding the Fourth Proportional to 11,857.76, 17,789.88 and 4,833.44

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Solution

The fourth proportional to 11,857.76, 17,789.88 and 4,833.44 is: 7,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.76 : 17,789.88 = 4,833.44 : x
  2. Step 2: Convert to fraction form
    11,857.76/17,789.88 = 4,833.44/x
  3. Step 3: Cross multiply
    11,857.76x = 17,789.88 × 4,833.44
  4. Step 4: Simplify right side
    11,857.76x = 85,986,317.59
  5. Step 5: Solve for x
    x = 85,986,317.59/11,857.76
  6. Step 6: Final answer
    x = 7,251.48

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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.