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Finding the Fourth Proportional to 8,128.68, 12,193.35 and 3,963.72

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Solution

The fourth proportional to 8,128.68, 12,193.35 and 3,963.72 is: 5,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.68 : 12,193.35 = 3,963.72 : x
  2. Step 2: Convert to fraction form
    8,128.68/12,193.35 = 3,963.72/x
  3. Step 3: Cross multiply
    8,128.68x = 12,193.35 × 3,963.72
  4. Step 4: Simplify right side
    8,128.68x = 48,331,025.26
  5. Step 5: Solve for x
    x = 48,331,025.26/8,128.68
  6. Step 6: Final answer
    x = 5,945.74

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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.