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Finding the Fourth Proportional to 8,766.86, 12,096.29 and 5,229.38

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Solution

The fourth proportional to 8,766.86, 12,096.29 and 5,229.38 is: 7,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,766.86 : 12,096.29 = 5,229.38 : x
  2. Step 2: Convert to fraction form
    8,766.86/12,096.29 = 5,229.38/x
  3. Step 3: Cross multiply
    8,766.86x = 12,096.29 × 5,229.38
  4. Step 4: Simplify right side
    8,766.86x = 63,256,010.37
  5. Step 5: Solve for x
    x = 63,256,010.37/8,766.86
  6. Step 6: Final answer
    x = 7,215.36

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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.