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Finding the Fourth Proportional to 10,033.88, 13,846.22 and 5,557.56

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Solution

The fourth proportional to 10,033.88, 13,846.22 and 5,557.56 is: 7,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.88 : 13,846.22 = 5,557.56 : x
  2. Step 2: Convert to fraction form
    10,033.88/13,846.22 = 5,557.56/x
  3. Step 3: Cross multiply
    10,033.88x = 13,846.22 × 5,557.56
  4. Step 4: Simplify right side
    10,033.88x = 76,951,198.42
  5. Step 5: Solve for x
    x = 76,951,198.42/10,033.88
  6. Step 6: Final answer
    x = 7,669.14

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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.