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Finding the Fourth Proportional to 10,811.72, 14,919.72 and 6,096.44

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Solution

The fourth proportional to 10,811.72, 14,919.72 and 6,096.44 is: 8,412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.72 : 14,919.72 = 6,096.44 : x
  2. Step 2: Convert to fraction form
    10,811.72/14,919.72 = 6,096.44/x
  3. Step 3: Cross multiply
    10,811.72x = 14,919.72 × 6,096.44
  4. Step 4: Simplify right side
    10,811.72x = 90,957,177.80
  5. Step 5: Solve for x
    x = 90,957,177.80/10,811.72
  6. Step 6: Final answer
    x = 8,412.83

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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.