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Finding the Fourth Proportional to 8,142.87, 12,206.10 and 3,210.60

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Solution

The fourth proportional to 8,142.87, 12,206.10 and 3,210.60 is: 4,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.87 : 12,206.10 = 3,210.60 : x
  2. Step 2: Convert to fraction form
    8,142.87/12,206.10 = 3,210.60/x
  3. Step 3: Cross multiply
    8,142.87x = 12,206.10 × 3,210.60
  4. Step 4: Simplify right side
    8,142.87x = 39,188,904.66
  5. Step 5: Solve for x
    x = 39,188,904.66/8,142.87
  6. Step 6: Final answer
    x = 4,812.66

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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.