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Finding the Fourth Proportional to 13,512.47, 18,645.79 and 7,846.11

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Solution

The fourth proportional to 13,512.47, 18,645.79 and 7,846.11 is: 10,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512.47 : 18,645.79 = 7,846.11 : x
  2. Step 2: Convert to fraction form
    13,512.47/18,645.79 = 7,846.11/x
  3. Step 3: Cross multiply
    13,512.47x = 18,645.79 × 7,846.11
  4. Step 4: Simplify right side
    13,512.47x = 146,296,919.38
  5. Step 5: Solve for x
    x = 146,296,919.38/13,512.47
  6. Step 6: Final answer
    x = 10,826.81

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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.