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Finding the Fourth Proportional to 11,434.92, 15,785.46 and 8,080.44

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Solution

The fourth proportional to 11,434.92, 15,785.46 and 8,080.44 is: 11,154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.92 : 15,785.46 = 8,080.44 : x
  2. Step 2: Convert to fraction form
    11,434.92/15,785.46 = 8,080.44/x
  3. Step 3: Cross multiply
    11,434.92x = 15,785.46 × 8,080.44
  4. Step 4: Simplify right side
    11,434.92x = 127,553,462.40
  5. Step 5: Solve for x
    x = 127,553,462.40/11,434.92
  6. Step 6: Final answer
    x = 11,154.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.