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Finding the Fourth Proportional to 7,687.26, 11,546.55 and 6,783.30

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Solution

The fourth proportional to 7,687.26, 11,546.55 and 6,783.30 is: 10,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.26 : 11,546.55 = 6,783.30 : x
  2. Step 2: Convert to fraction form
    7,687.26/11,546.55 = 6,783.30/x
  3. Step 3: Cross multiply
    7,687.26x = 11,546.55 × 6,783.30
  4. Step 4: Simplify right side
    7,687.26x = 78,323,712.62
  5. Step 5: Solve for x
    x = 78,323,712.62/7,687.26
  6. Step 6: Final answer
    x = 10,188.77

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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.