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Finding the Fourth Proportional to 11,627.88, 17,444.46 and 4,232.38

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Solution

The fourth proportional to 11,627.88, 17,444.46 and 4,232.38 is: 6,349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.88 : 17,444.46 = 4,232.38 : x
  2. Step 2: Convert to fraction form
    11,627.88/17,444.46 = 4,232.38/x
  3. Step 3: Cross multiply
    11,627.88x = 17,444.46 × 4,232.38
  4. Step 4: Simplify right side
    11,627.88x = 73,831,583.61
  5. Step 5: Solve for x
    x = 73,831,583.61/11,627.88
  6. Step 6: Final answer
    x = 6,349.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.