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Finding the Fourth Proportional to 8,119.78, 11,214.40 and 6,348.86

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Solution

The fourth proportional to 8,119.78, 11,214.40 and 6,348.86 is: 8,768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.78 : 11,214.40 = 6,348.86 : x
  2. Step 2: Convert to fraction form
    8,119.78/11,214.40 = 6,348.86/x
  3. Step 3: Cross multiply
    8,119.78x = 11,214.40 × 6,348.86
  4. Step 4: Simplify right side
    8,119.78x = 71,198,655.58
  5. Step 5: Solve for x
    x = 71,198,655.58/8,119.78
  6. Step 6: Final answer
    x = 8,768.54

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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.