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Finding the Fourth Proportional to 7,857.40, 11,781.24 and 3,349.12

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Solution

The fourth proportional to 7,857.40, 11,781.24 and 3,349.12 is: 5,021.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.40 : 11,781.24 = 3,349.12 : x
  2. Step 2: Convert to fraction form
    7,857.40/11,781.24 = 3,349.12/x
  3. Step 3: Cross multiply
    7,857.40x = 11,781.24 × 3,349.12
  4. Step 4: Simplify right side
    7,857.40x = 39,456,786.51
  5. Step 5: Solve for x
    x = 39,456,786.51/7,857.40
  6. Step 6: Final answer
    x = 5,021.61

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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.