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Finding the Fourth Proportional to 12,592.31, 17,377.97 and 7,286.09

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Solution

The fourth proportional to 12,592.31, 17,377.97 and 7,286.09 is: 10,055.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.31 : 17,377.97 = 7,286.09 : x
  2. Step 2: Convert to fraction form
    12,592.31/17,377.97 = 7,286.09/x
  3. Step 3: Cross multiply
    12,592.31x = 17,377.97 × 7,286.09
  4. Step 4: Simplify right side
    12,592.31x = 126,617,460.45
  5. Step 5: Solve for x
    x = 126,617,460.45/12,592.31
  6. Step 6: Final answer
    x = 10,055.15

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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.