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Finding the Fourth Proportional to 8,120.96, 11,216.08 and 6,100.80

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Solution

The fourth proportional to 8,120.96, 11,216.08 and 6,100.80 is: 8,425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.96 : 11,216.08 = 6,100.80 : x
  2. Step 2: Convert to fraction form
    8,120.96/11,216.08 = 6,100.80/x
  3. Step 3: Cross multiply
    8,120.96x = 11,216.08 × 6,100.80
  4. Step 4: Simplify right side
    8,120.96x = 68,427,060.86
  5. Step 5: Solve for x
    x = 68,427,060.86/8,120.96
  6. Step 6: Final answer
    x = 8,425.98

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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.