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Finding the Fourth Proportional to 11,578.65, 15,978.62 and 6,273.50

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Solution

The fourth proportional to 11,578.65, 15,978.62 and 6,273.50 is: 8,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.65 : 15,978.62 = 6,273.50 : x
  2. Step 2: Convert to fraction form
    11,578.65/15,978.62 = 6,273.50/x
  3. Step 3: Cross multiply
    11,578.65x = 15,978.62 × 6,273.50
  4. Step 4: Simplify right side
    11,578.65x = 100,241,862.95
  5. Step 5: Solve for x
    x = 100,241,862.95/11,578.65
  6. Step 6: Final answer
    x = 8,657.48

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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.