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Finding the Fourth Proportional to 8,402.80, 11,514.40 and 8,096.80

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Solution

The fourth proportional to 8,402.80, 11,514.40 and 8,096.80 is: 11,095.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.80 : 11,514.40 = 8,096.80 : x
  2. Step 2: Convert to fraction form
    8,402.80/11,514.40 = 8,096.80/x
  3. Step 3: Cross multiply
    8,402.80x = 11,514.40 × 8,096.80
  4. Step 4: Simplify right side
    8,402.80x = 93,229,793.92
  5. Step 5: Solve for x
    x = 93,229,793.92/8,402.80
  6. Step 6: Final answer
    x = 11,095.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.