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Finding the Fourth Proportional to 11,411.10, 15,747.12 and 6,375

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Solution

The fourth proportional to 11,411.10, 15,747.12 and 6,375 is: 8,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.10 : 15,747.12 = 6,375 : x
  2. Step 2: Convert to fraction form
    11,411.10/15,747.12 = 6,375/x
  3. Step 3: Cross multiply
    11,411.10x = 15,747.12 × 6,375
  4. Step 4: Simplify right side
    11,411.10x = 100,387,890
  5. Step 5: Solve for x
    x = 100,387,890/11,411.10
  6. Step 6: Final answer
    x = 8,797.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.