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Finding the Fourth Proportional to 8,128.97, 12,193.18 and 3,445.97

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Solution

The fourth proportional to 8,128.97, 12,193.18 and 3,445.97 is: 5,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.97 : 12,193.18 = 3,445.97 : x
  2. Step 2: Convert to fraction form
    8,128.97/12,193.18 = 3,445.97/x
  3. Step 3: Cross multiply
    8,128.97x = 12,193.18 × 3,445.97
  4. Step 4: Simplify right side
    8,128.97x = 42,017,275.83
  5. Step 5: Solve for x
    x = 42,017,275.83/8,128.97
  6. Step 6: Final answer
    x = 5,168.83

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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.