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Finding the Fourth Proportional to 8,122.94, 12,156.69 and 6,808.18

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Solution

The fourth proportional to 8,122.94, 12,156.69 and 6,808.18 is: 10,189.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.94 : 12,156.69 = 6,808.18 : x
  2. Step 2: Convert to fraction form
    8,122.94/12,156.69 = 6,808.18/x
  3. Step 3: Cross multiply
    8,122.94x = 12,156.69 × 6,808.18
  4. Step 4: Simplify right side
    8,122.94x = 82,764,980.83
  5. Step 5: Solve for x
    x = 82,764,980.83/8,122.94
  6. Step 6: Final answer
    x = 10,189.04

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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.