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Finding the Fourth Proportional to 11,578.49, 15,978.33 and 6,273.32

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Solution

The fourth proportional to 11,578.49, 15,978.33 and 6,273.32 is: 8,657.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.49 : 15,978.33 = 6,273.32 : x
  2. Step 2: Convert to fraction form
    11,578.49/15,978.33 = 6,273.32/x
  3. Step 3: Cross multiply
    11,578.49x = 15,978.33 × 6,273.32
  4. Step 4: Simplify right side
    11,578.49x = 100,237,097.26
  5. Step 5: Solve for x
    x = 100,237,097.26/11,578.49
  6. Step 6: Final answer
    x = 8,657.18

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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.