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Finding the Fourth Proportional to 8,111.85, 12,150.86 and 4,204.41

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Solution

The fourth proportional to 8,111.85, 12,150.86 and 4,204.41 is: 6,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.85 : 12,150.86 = 4,204.41 : x
  2. Step 2: Convert to fraction form
    8,111.85/12,150.86 = 4,204.41/x
  3. Step 3: Cross multiply
    8,111.85x = 12,150.86 × 4,204.41
  4. Step 4: Simplify right side
    8,111.85x = 51,087,176.27
  5. Step 5: Solve for x
    x = 51,087,176.27/8,111.85
  6. Step 6: Final answer
    x = 6,297.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.