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Finding the Fourth Proportional to 7,740.80, 11,611.20 and 7,611.20

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Solution

The fourth proportional to 7,740.80, 11,611.20 and 7,611.20 is: 11,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.80 : 11,611.20 = 7,611.20 : x
  2. Step 2: Convert to fraction form
    7,740.80/11,611.20 = 7,611.20/x
  3. Step 3: Cross multiply
    7,740.80x = 11,611.20 × 7,611.20
  4. Step 4: Simplify right side
    7,740.80x = 88,375,165.44
  5. Step 5: Solve for x
    x = 88,375,165.44/7,740.80
  6. Step 6: Final answer
    x = 11,416.80

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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.