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Finding the Fourth Proportional to 8,169.12, 12,190.50 and 6,998.40

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Solution

The fourth proportional to 8,169.12, 12,190.50 and 6,998.40 is: 10,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.12 : 12,190.50 = 6,998.40 : x
  2. Step 2: Convert to fraction form
    8,169.12/12,190.50 = 6,998.40/x
  3. Step 3: Cross multiply
    8,169.12x = 12,190.50 × 6,998.40
  4. Step 4: Simplify right side
    8,169.12x = 85,313,995.20
  5. Step 5: Solve for x
    x = 85,313,995.20/8,169.12
  6. Step 6: Final answer
    x = 10,443.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.