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Finding the Fourth Proportional to 6,517.47, 8,989.53 and 4,000.80

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Solution

The fourth proportional to 6,517.47, 8,989.53 and 4,000.80 is: 5,518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.47 : 8,989.53 = 4,000.80 : x
  2. Step 2: Convert to fraction form
    6,517.47/8,989.53 = 4,000.80/x
  3. Step 3: Cross multiply
    6,517.47x = 8,989.53 × 4,000.80
  4. Step 4: Simplify right side
    6,517.47x = 35,965,311.62
  5. Step 5: Solve for x
    x = 35,965,311.62/6,517.47
  6. Step 6: Final answer
    x = 5,518.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.