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Finding the Fourth Proportional to 11,874.38, 17,815.17 and 4,857.19

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Solution

The fourth proportional to 11,874.38, 17,815.17 and 4,857.19 is: 7,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.38 : 17,815.17 = 4,857.19 : x
  2. Step 2: Convert to fraction form
    11,874.38/17,815.17 = 4,857.19/x
  3. Step 3: Cross multiply
    11,874.38x = 17,815.17 × 4,857.19
  4. Step 4: Simplify right side
    11,874.38x = 86,531,648.37
  5. Step 5: Solve for x
    x = 86,531,648.37/11,874.38
  6. Step 6: Final answer
    x = 7,287.25

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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.