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Finding the Fourth Proportional to 11,960.40, 16,507.26 and 8,614.38

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Solution

The fourth proportional to 11,960.40, 16,507.26 and 8,614.38 is: 11,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.40 : 16,507.26 = 8,614.38 : x
  2. Step 2: Convert to fraction form
    11,960.40/16,507.26 = 8,614.38/x
  3. Step 3: Cross multiply
    11,960.40x = 16,507.26 × 8,614.38
  4. Step 4: Simplify right side
    11,960.40x = 142,199,810.40
  5. Step 5: Solve for x
    x = 142,199,810.40/11,960.40
  6. Step 6: Final answer
    x = 11,889.22

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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.