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Finding the Fourth Proportional to 12,629.38, 17,428.92 and 7,252.78

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Solution

The fourth proportional to 12,629.38, 17,428.92 and 7,252.78 is: 10,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,629.38 : 17,428.92 = 7,252.78 : x
  2. Step 2: Convert to fraction form
    12,629.38/17,428.92 = 7,252.78/x
  3. Step 3: Cross multiply
    12,629.38x = 17,428.92 × 7,252.78
  4. Step 4: Simplify right side
    12,629.38x = 126,408,122.40
  5. Step 5: Solve for x
    x = 126,408,122.40/12,629.38
  6. Step 6: Final answer
    x = 10,009.05

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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.