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Finding the Fourth Proportional to 11,678.91, 17,518.38 and 7,755.27

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Solution

The fourth proportional to 11,678.91, 17,518.38 and 7,755.27 is: 11,632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.91 : 17,518.38 = 7,755.27 : x
  2. Step 2: Convert to fraction form
    11,678.91/17,518.38 = 7,755.27/x
  3. Step 3: Cross multiply
    11,678.91x = 17,518.38 × 7,755.27
  4. Step 4: Simplify right side
    11,678.91x = 135,859,766.86
  5. Step 5: Solve for x
    x = 135,859,766.86/11,678.91
  6. Step 6: Final answer
    x = 11,632.91

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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.