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Finding the Fourth Proportional to 8,022.68, 12,034.56 and 2,179.16

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Solution

The fourth proportional to 8,022.68, 12,034.56 and 2,179.16 is: 3,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.68 : 12,034.56 = 2,179.16 : x
  2. Step 2: Convert to fraction form
    8,022.68/12,034.56 = 2,179.16/x
  3. Step 3: Cross multiply
    8,022.68x = 12,034.56 × 2,179.16
  4. Step 4: Simplify right side
    8,022.68x = 26,225,231.77
  5. Step 5: Solve for x
    x = 26,225,231.77/8,022.68
  6. Step 6: Final answer
    x = 3,268.89

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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.