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Finding the Fourth Proportional to 8,197.62, 12,293.58 and 5,072.85

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Solution

The fourth proportional to 8,197.62, 12,293.58 and 5,072.85 is: 7,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.62 : 12,293.58 = 5,072.85 : x
  2. Step 2: Convert to fraction form
    8,197.62/12,293.58 = 5,072.85/x
  3. Step 3: Cross multiply
    8,197.62x = 12,293.58 × 5,072.85
  4. Step 4: Simplify right side
    8,197.62x = 62,363,487.30
  5. Step 5: Solve for x
    x = 62,363,487.30/8,197.62
  6. Step 6: Final answer
    x = 7,607.51

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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.