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Finding the Fourth Proportional to 8,473.44, 12,707.61 and 3,206.68

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Solution

The fourth proportional to 8,473.44, 12,707.61 and 3,206.68 is: 4,809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.44 : 12,707.61 = 3,206.68 : x
  2. Step 2: Convert to fraction form
    8,473.44/12,707.61 = 3,206.68/x
  3. Step 3: Cross multiply
    8,473.44x = 12,707.61 × 3,206.68
  4. Step 4: Simplify right side
    8,473.44x = 40,749,222.80
  5. Step 5: Solve for x
    x = 40,749,222.80/8,473.44
  6. Step 6: Final answer
    x = 4,809.06

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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.