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Finding the Fourth Proportional to 7,768.85, 11,640.32 and 5,456.21

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Solution

The fourth proportional to 7,768.85, 11,640.32 and 5,456.21 is: 8,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.85 : 11,640.32 = 5,456.21 : x
  2. Step 2: Convert to fraction form
    7,768.85/11,640.32 = 5,456.21/x
  3. Step 3: Cross multiply
    7,768.85x = 11,640.32 × 5,456.21
  4. Step 4: Simplify right side
    7,768.85x = 63,512,003.11
  5. Step 5: Solve for x
    x = 63,512,003.11/7,768.85
  6. Step 6: Final answer
    x = 8,175.21

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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.