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Finding the Fourth Proportional to 7,684.26, 11,542.05 and 6,780.30

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Solution

The fourth proportional to 7,684.26, 11,542.05 and 6,780.30 is: 10,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.26 : 11,542.05 = 6,780.30 : x
  2. Step 2: Convert to fraction form
    7,684.26/11,542.05 = 6,780.30/x
  3. Step 3: Cross multiply
    7,684.26x = 11,542.05 × 6,780.30
  4. Step 4: Simplify right side
    7,684.26x = 78,258,561.62
  5. Step 5: Solve for x
    x = 78,258,561.62/7,684.26
  6. Step 6: Final answer
    x = 10,184.27

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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.