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Finding the Fourth Proportional to 11,578.70, 15,978.56 and 6,273.52

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Solution

The fourth proportional to 11,578.70, 15,978.56 and 6,273.52 is: 8,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.70 : 15,978.56 = 6,273.52 : x
  2. Step 2: Convert to fraction form
    11,578.70/15,978.56 = 6,273.52/x
  3. Step 3: Cross multiply
    11,578.70x = 15,978.56 × 6,273.52
  4. Step 4: Simplify right side
    11,578.70x = 100,241,744.42
  5. Step 5: Solve for x
    x = 100,241,744.42/11,578.70
  6. Step 6: Final answer
    x = 8,657.42

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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.