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Finding the Fourth Proportional to 11,646.66, 17,464.62 and 3,747.71

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Solution

The fourth proportional to 11,646.66, 17,464.62 and 3,747.71 is: 5,619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.66 : 17,464.62 = 3,747.71 : x
  2. Step 2: Convert to fraction form
    11,646.66/17,464.62 = 3,747.71/x
  3. Step 3: Cross multiply
    11,646.66x = 17,464.62 × 3,747.71
  4. Step 4: Simplify right side
    11,646.66x = 65,452,273.30
  5. Step 5: Solve for x
    x = 65,452,273.30/11,646.66
  6. Step 6: Final answer
    x = 5,619.83

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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.