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Finding the Fourth Proportional to 10,591.21, 15,881.88 and 3,927.44

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Solution

The fourth proportional to 10,591.21, 15,881.88 and 3,927.44 is: 5,889.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.21 : 15,881.88 = 3,927.44 : x
  2. Step 2: Convert to fraction form
    10,591.21/15,881.88 = 3,927.44/x
  3. Step 3: Cross multiply
    10,591.21x = 15,881.88 × 3,927.44
  4. Step 4: Simplify right side
    10,591.21x = 62,375,076.14
  5. Step 5: Solve for x
    x = 62,375,076.14/10,591.21
  6. Step 6: Final answer
    x = 5,889.33

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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.