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Finding the Fourth Proportional to 11,410.95, 15,747.71 and 6,375.27

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Solution

The fourth proportional to 11,410.95, 15,747.71 and 6,375.27 is: 8,798.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.95 : 15,747.71 = 6,375.27 : x
  2. Step 2: Convert to fraction form
    11,410.95/15,747.71 = 6,375.27/x
  3. Step 3: Cross multiply
    11,410.95x = 15,747.71 × 6,375.27
  4. Step 4: Simplify right side
    11,410.95x = 100,395,840.33
  5. Step 5: Solve for x
    x = 100,395,840.33/11,410.95
  6. Step 6: Final answer
    x = 8,798.21

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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.