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Finding the Fourth Proportional to 8,102.32, 12,149.16 and 4,197.04

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Solution

The fourth proportional to 8,102.32, 12,149.16 and 4,197.04 is: 6,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.32 : 12,149.16 = 4,197.04 : x
  2. Step 2: Convert to fraction form
    8,102.32/12,149.16 = 4,197.04/x
  3. Step 3: Cross multiply
    8,102.32x = 12,149.16 × 4,197.04
  4. Step 4: Simplify right side
    8,102.32x = 50,990,510.49
  5. Step 5: Solve for x
    x = 50,990,510.49/8,102.32
  6. Step 6: Final answer
    x = 6,293.32

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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.