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Finding the Fourth Proportional to 7,471.05, 10,309.64 and 4,113.23

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Solution

The fourth proportional to 7,471.05, 10,309.64 and 4,113.23 is: 5,676.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.05 : 10,309.64 = 4,113.23 : x
  2. Step 2: Convert to fraction form
    7,471.05/10,309.64 = 4,113.23/x
  3. Step 3: Cross multiply
    7,471.05x = 10,309.64 × 4,113.23
  4. Step 4: Simplify right side
    7,471.05x = 42,405,912.12
  5. Step 5: Solve for x
    x = 42,405,912.12/7,471.05
  6. Step 6: Final answer
    x = 5,676.03

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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.