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Finding the Fourth Proportional to 11,500.38, 17,253.71 and 4,105.59

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Solution

The fourth proportional to 11,500.38, 17,253.71 and 4,105.59 is: 6,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.38 : 17,253.71 = 4,105.59 : x
  2. Step 2: Convert to fraction form
    11,500.38/17,253.71 = 4,105.59/x
  3. Step 3: Cross multiply
    11,500.38x = 17,253.71 × 4,105.59
  4. Step 4: Simplify right side
    11,500.38x = 70,836,589.41
  5. Step 5: Solve for x
    x = 70,836,589.41/11,500.38
  6. Step 6: Final answer
    x = 6,159.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.