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Finding the Fourth Proportional to 8,210.43, 12,316.76 and 2,661.96

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Solution

The fourth proportional to 8,210.43, 12,316.76 and 2,661.96 is: 3,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.43 : 12,316.76 = 2,661.96 : x
  2. Step 2: Convert to fraction form
    8,210.43/12,316.76 = 2,661.96/x
  3. Step 3: Cross multiply
    8,210.43x = 12,316.76 × 2,661.96
  4. Step 4: Simplify right side
    8,210.43x = 32,786,765.31
  5. Step 5: Solve for x
    x = 32,786,765.31/8,210.43
  6. Step 6: Final answer
    x = 3,993.31

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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.