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Finding the Fourth Proportional to 11,582.28, 17,375.82 and 4,656.78

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Solution

The fourth proportional to 11,582.28, 17,375.82 and 4,656.78 is: 6,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582.28 : 17,375.82 = 4,656.78 : x
  2. Step 2: Convert to fraction form
    11,582.28/17,375.82 = 4,656.78/x
  3. Step 3: Cross multiply
    11,582.28x = 17,375.82 × 4,656.78
  4. Step 4: Simplify right side
    11,582.28x = 80,915,371.06
  5. Step 5: Solve for x
    x = 80,915,371.06/11,582.28
  6. Step 6: Final answer
    x = 6,986.13

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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.