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Finding the Fourth Proportional to 7,563.38, 10,438.37 and 4,419.56

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Solution

The fourth proportional to 7,563.38, 10,438.37 and 4,419.56 is: 6,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.38 : 10,438.37 = 4,419.56 : x
  2. Step 2: Convert to fraction form
    7,563.38/10,438.37 = 4,419.56/x
  3. Step 3: Cross multiply
    7,563.38x = 10,438.37 × 4,419.56
  4. Step 4: Simplify right side
    7,563.38x = 46,133,023.09
  5. Step 5: Solve for x
    x = 46,133,023.09/7,563.38
  6. Step 6: Final answer
    x = 6,099.53

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Why These Related Problems?

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