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Finding the Fourth Proportional to 11,571.00, 15,968.06 and 6,265.82

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Solution

The fourth proportional to 11,571.00, 15,968.06 and 6,265.82 is: 8,646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.00 : 15,968.06 = 6,265.82 : x
  2. Step 2: Convert to fraction form
    11,571.00/15,968.06 = 6,265.82/x
  3. Step 3: Cross multiply
    11,571.00x = 15,968.06 × 6,265.82
  4. Step 4: Simplify right side
    11,571.00x = 100,053,021.80
  5. Step 5: Solve for x
    x = 100,053,021.80/11,571.00
  6. Step 6: Final answer
    x = 8,646.88

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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.