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Finding the Fourth Proportional to 8,552.80, 12,829.20 and 6,997.60

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Solution

The fourth proportional to 8,552.80, 12,829.20 and 6,997.60 is: 10,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,552.80 : 12,829.20 = 6,997.60 : x
  2. Step 2: Convert to fraction form
    8,552.80/12,829.20 = 6,997.60/x
  3. Step 3: Cross multiply
    8,552.80x = 12,829.20 × 6,997.60
  4. Step 4: Simplify right side
    8,552.80x = 89,773,609.92
  5. Step 5: Solve for x
    x = 89,773,609.92/8,552.80
  6. Step 6: Final answer
    x = 10,496.40

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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.