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Finding the Fourth Proportional to 8,142.66, 12,205.69 and 3,210.30

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Solution

The fourth proportional to 8,142.66, 12,205.69 and 3,210.30 is: 4,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.66 : 12,205.69 = 3,210.30 : x
  2. Step 2: Convert to fraction form
    8,142.66/12,205.69 = 3,210.30/x
  3. Step 3: Cross multiply
    8,142.66x = 12,205.69 × 3,210.30
  4. Step 4: Simplify right side
    8,142.66x = 39,183,918.58
  5. Step 5: Solve for x
    x = 39,183,918.58/8,142.66
  6. Step 6: Final answer
    x = 4,812.18

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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.