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Finding the Fourth Proportional to 11,658.94, 17,488.46 and 3,867.75

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Solution

The fourth proportional to 11,658.94, 17,488.46 and 3,867.75 is: 5,801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.94 : 17,488.46 = 3,867.75 : x
  2. Step 2: Convert to fraction form
    11,658.94/17,488.46 = 3,867.75/x
  3. Step 3: Cross multiply
    11,658.94x = 17,488.46 × 3,867.75
  4. Step 4: Simplify right side
    11,658.94x = 67,640,979.08
  5. Step 5: Solve for x
    x = 67,640,979.08/11,658.94
  6. Step 6: Final answer
    x = 5,801.64

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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.