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Finding the Fourth Proportional to 8,543.12, 12,816.12 and 2,996.24

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Solution

The fourth proportional to 8,543.12, 12,816.12 and 2,996.24 is: 4,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.12 : 12,816.12 = 2,996.24 : x
  2. Step 2: Convert to fraction form
    8,543.12/12,816.12 = 2,996.24/x
  3. Step 3: Cross multiply
    8,543.12x = 12,816.12 × 2,996.24
  4. Step 4: Simplify right side
    8,543.12x = 38,400,171.39
  5. Step 5: Solve for x
    x = 38,400,171.39/8,543.12
  6. Step 6: Final answer
    x = 4,494.87

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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.