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Finding the Fourth Proportional to 10,824.47, 16,245.22 and 5,559.27

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Solution

The fourth proportional to 10,824.47, 16,245.22 and 5,559.27 is: 8,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.47 : 16,245.22 = 5,559.27 : x
  2. Step 2: Convert to fraction form
    10,824.47/16,245.22 = 5,559.27/x
  3. Step 3: Cross multiply
    10,824.47x = 16,245.22 × 5,559.27
  4. Step 4: Simplify right side
    10,824.47x = 90,311,536.39
  5. Step 5: Solve for x
    x = 90,311,536.39/10,824.47
  6. Step 6: Final answer
    x = 8,343.28

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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.