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Finding the Fourth Proportional to 8,206.83, 12,301.74 and 3,820.68

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Solution

The fourth proportional to 8,206.83, 12,301.74 and 3,820.68 is: 5,727.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.83 : 12,301.74 = 3,820.68 : x
  2. Step 2: Convert to fraction form
    8,206.83/12,301.74 = 3,820.68/x
  3. Step 3: Cross multiply
    8,206.83x = 12,301.74 × 3,820.68
  4. Step 4: Simplify right side
    8,206.83x = 47,001,011.98
  5. Step 5: Solve for x
    x = 47,001,011.98/8,206.83
  6. Step 6: Final answer
    x = 5,727.06

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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.