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Finding the Fourth Proportional to 8,179.74, 12,269.88 and 2,336.40

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Solution

The fourth proportional to 8,179.74, 12,269.88 and 2,336.40 is: 3,504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.74 : 12,269.88 = 2,336.40 : x
  2. Step 2: Convert to fraction form
    8,179.74/12,269.88 = 2,336.40/x
  3. Step 3: Cross multiply
    8,179.74x = 12,269.88 × 2,336.40
  4. Step 4: Simplify right side
    8,179.74x = 28,667,347.63
  5. Step 5: Solve for x
    x = 28,667,347.63/8,179.74
  6. Step 6: Final answer
    x = 3,504.68

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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.