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Finding the Fourth Proportional to 8,078.76, 11,149.92 and 4,543.20

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Solution

The fourth proportional to 8,078.76, 11,149.92 and 4,543.20 is: 6,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.76 : 11,149.92 = 4,543.20 : x
  2. Step 2: Convert to fraction form
    8,078.76/11,149.92 = 4,543.20/x
  3. Step 3: Cross multiply
    8,078.76x = 11,149.92 × 4,543.20
  4. Step 4: Simplify right side
    8,078.76x = 50,656,316.54
  5. Step 5: Solve for x
    x = 50,656,316.54/8,078.76
  6. Step 6: Final answer
    x = 6,270.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.