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Finding the Fourth Proportional to 11,886.56, 17,824.57 and 6,338.87

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Solution

The fourth proportional to 11,886.56, 17,824.57 and 6,338.87 is: 9,505.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.56 : 17,824.57 = 6,338.87 : x
  2. Step 2: Convert to fraction form
    11,886.56/17,824.57 = 6,338.87/x
  3. Step 3: Cross multiply
    11,886.56x = 17,824.57 × 6,338.87
  4. Step 4: Simplify right side
    11,886.56x = 112,987,632.04
  5. Step 5: Solve for x
    x = 112,987,632.04/11,886.56
  6. Step 6: Final answer
    x = 9,505.49

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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.