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Finding the Fourth Proportional to 7,684.12, 11,520.91 and 2,753.65

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Solution

The fourth proportional to 7,684.12, 11,520.91 and 2,753.65 is: 4,128.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.12 : 11,520.91 = 2,753.65 : x
  2. Step 2: Convert to fraction form
    7,684.12/11,520.91 = 2,753.65/x
  3. Step 3: Cross multiply
    7,684.12x = 11,520.91 × 2,753.65
  4. Step 4: Simplify right side
    7,684.12x = 31,724,553.82
  5. Step 5: Solve for x
    x = 31,724,553.82/7,684.12
  6. Step 6: Final answer
    x = 4,128.59

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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.