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Finding the Fourth Proportional to 8,286.28, 12,429.08 and 2,739.46

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Solution

The fourth proportional to 8,286.28, 12,429.08 and 2,739.46 is: 4,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.28 : 12,429.08 = 2,739.46 : x
  2. Step 2: Convert to fraction form
    8,286.28/12,429.08 = 2,739.46/x
  3. Step 3: Cross multiply
    8,286.28x = 12,429.08 × 2,739.46
  4. Step 4: Simplify right side
    8,286.28x = 34,048,967.50
  5. Step 5: Solve for x
    x = 34,048,967.50/8,286.28
  6. Step 6: Final answer
    x = 4,109.08

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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.