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Finding the Fourth Proportional to 6,438.11, 8,850.43 and 5,538.56

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Solution

The fourth proportional to 6,438.11, 8,850.43 and 5,538.56 is: 7,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.11 : 8,850.43 = 5,538.56 : x
  2. Step 2: Convert to fraction form
    6,438.11/8,850.43 = 5,538.56/x
  3. Step 3: Cross multiply
    6,438.11x = 8,850.43 × 5,538.56
  4. Step 4: Simplify right side
    6,438.11x = 49,018,637.58
  5. Step 5: Solve for x
    x = 49,018,637.58/6,438.11
  6. Step 6: Final answer
    x = 7,613.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.