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Finding the Fourth Proportional to 7,438.52, 11,157.73 and 1,891.82

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Solution

The fourth proportional to 7,438.52, 11,157.73 and 1,891.82 is: 2,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.52 : 11,157.73 = 1,891.82 : x
  2. Step 2: Convert to fraction form
    7,438.52/11,157.73 = 1,891.82/x
  3. Step 3: Cross multiply
    7,438.52x = 11,157.73 × 1,891.82
  4. Step 4: Simplify right side
    7,438.52x = 21,108,405.50
  5. Step 5: Solve for x
    x = 21,108,405.50/7,438.52
  6. Step 6: Final answer
    x = 2,837.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.