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Finding the Fourth Proportional to 11,781.92, 17,675.47 and 6,524.58

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Solution

The fourth proportional to 11,781.92, 17,675.47 and 6,524.58 is: 9,788.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.92 : 17,675.47 = 6,524.58 : x
  2. Step 2: Convert to fraction form
    11,781.92/17,675.47 = 6,524.58/x
  3. Step 3: Cross multiply
    11,781.92x = 17,675.47 × 6,524.58
  4. Step 4: Simplify right side
    11,781.92x = 115,325,018.05
  5. Step 5: Solve for x
    x = 115,325,018.05/11,781.92
  6. Step 6: Final answer
    x = 9,788.30

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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.