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Finding the Fourth Proportional to 7,682.76, 11,539.80 and 6,778.80

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Solution

The fourth proportional to 7,682.76, 11,539.80 and 6,778.80 is: 10,182.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.76 : 11,539.80 = 6,778.80 : x
  2. Step 2: Convert to fraction form
    7,682.76/11,539.80 = 6,778.80/x
  3. Step 3: Cross multiply
    7,682.76x = 11,539.80 × 6,778.80
  4. Step 4: Simplify right side
    7,682.76x = 78,225,996.24
  5. Step 5: Solve for x
    x = 78,225,996.24/7,682.76
  6. Step 6: Final answer
    x = 10,182.02

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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.