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Finding the Fourth Proportional to 12,627.38, 17,418.66 and 7,903.46

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Solution

The fourth proportional to 12,627.38, 17,418.66 and 7,903.46 is: 10,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,627.38 : 17,418.66 = 7,903.46 : x
  2. Step 2: Convert to fraction form
    12,627.38/17,418.66 = 7,903.46/x
  3. Step 3: Cross multiply
    12,627.38x = 17,418.66 × 7,903.46
  4. Step 4: Simplify right side
    12,627.38x = 137,667,682.56
  5. Step 5: Solve for x
    x = 137,667,682.56/12,627.38
  6. Step 6: Final answer
    x = 10,902.32

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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.