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Finding the Fourth Proportional to 11,384.56, 17,059.56 and 8,449.12

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Solution

The fourth proportional to 11,384.56, 17,059.56 and 8,449.12 is: 12,660.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.56 : 17,059.56 = 8,449.12 : x
  2. Step 2: Convert to fraction form
    11,384.56/17,059.56 = 8,449.12/x
  3. Step 3: Cross multiply
    11,384.56x = 17,059.56 × 8,449.12
  4. Step 4: Simplify right side
    11,384.56x = 144,138,269.59
  5. Step 5: Solve for x
    x = 144,138,269.59/11,384.56
  6. Step 6: Final answer
    x = 12,660.86

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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.