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Finding the Fourth Proportional to 7,339, 10,127.82 and 4,027

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Solution

The fourth proportional to 7,339, 10,127.82 and 4,027 is: 5,557.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,339 : 10,127.82 = 4,027 : x
  2. Step 2: Convert to fraction form
    7,339/10,127.82 = 4,027/x
  3. Step 3: Cross multiply
    7,339x = 10,127.82 × 4,027
  4. Step 4: Simplify right side
    7,339x = 40,784,731.14
  5. Step 5: Solve for x
    x = 40,784,731.14/7,339
  6. Step 6: Final answer
    x = 5,557.26

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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.