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Finding the Fourth Proportional to 11,781.63, 16,257.87 and 6,745.89

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Solution

The fourth proportional to 11,781.63, 16,257.87 and 6,745.89 is: 9,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.63 : 16,257.87 = 6,745.89 : x
  2. Step 2: Convert to fraction form
    11,781.63/16,257.87 = 6,745.89/x
  3. Step 3: Cross multiply
    11,781.63x = 16,257.87 × 6,745.89
  4. Step 4: Simplify right side
    11,781.63x = 109,673,802.65
  5. Step 5: Solve for x
    x = 109,673,802.65/11,781.63
  6. Step 6: Final answer
    x = 9,308.88

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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.