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Finding the Fourth Proportional to 11,480.16, 15,842.42 and 6,375.96

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Solution

The fourth proportional to 11,480.16, 15,842.42 and 6,375.96 is: 8,798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480.16 : 15,842.42 = 6,375.96 : x
  2. Step 2: Convert to fraction form
    11,480.16/15,842.42 = 6,375.96/x
  3. Step 3: Cross multiply
    11,480.16x = 15,842.42 × 6,375.96
  4. Step 4: Simplify right side
    11,480.16x = 101,010,636.22
  5. Step 5: Solve for x
    x = 101,010,636.22/11,480.16
  6. Step 6: Final answer
    x = 8,798.71

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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.