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Finding the Fourth Proportional to 11,645.64, 17,468.45 and 3,747.98

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Solution

The fourth proportional to 11,645.64, 17,468.45 and 3,747.98 is: 5,621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.64 : 17,468.45 = 3,747.98 : x
  2. Step 2: Convert to fraction form
    11,645.64/17,468.45 = 3,747.98/x
  3. Step 3: Cross multiply
    11,645.64x = 17,468.45 × 3,747.98
  4. Step 4: Simplify right side
    11,645.64x = 65,471,295.15
  5. Step 5: Solve for x
    x = 65,471,295.15/11,645.64
  6. Step 6: Final answer
    x = 5,621.96

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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.