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Finding the Fourth Proportional to 10,414.77, 14,375.40 and 5,940.96

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Solution

The fourth proportional to 10,414.77, 14,375.40 and 5,940.96 is: 8,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.77 : 14,375.40 = 5,940.96 : x
  2. Step 2: Convert to fraction form
    10,414.77/14,375.40 = 5,940.96/x
  3. Step 3: Cross multiply
    10,414.77x = 14,375.40 × 5,940.96
  4. Step 4: Simplify right side
    10,414.77x = 85,403,676.38
  5. Step 5: Solve for x
    x = 85,403,676.38/10,414.77
  6. Step 6: Final answer
    x = 8,200.25

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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.