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Finding the Fourth Proportional to 7,338.52, 11,009.62 and 3,438.38

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Solution

The fourth proportional to 7,338.52, 11,009.62 and 3,438.38 is: 5,158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.52 : 11,009.62 = 3,438.38 : x
  2. Step 2: Convert to fraction form
    7,338.52/11,009.62 = 3,438.38/x
  3. Step 3: Cross multiply
    7,338.52x = 11,009.62 × 3,438.38
  4. Step 4: Simplify right side
    7,338.52x = 37,855,257.22
  5. Step 5: Solve for x
    x = 37,855,257.22/7,338.52
  6. Step 6: Final answer
    x = 5,158.43

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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.