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Finding the Fourth Proportional to 11,468.52, 17,202.80 and 3,148.65

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Solution

The fourth proportional to 11,468.52, 17,202.80 and 3,148.65 is: 4,722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.52 : 17,202.80 = 3,148.65 : x
  2. Step 2: Convert to fraction form
    11,468.52/17,202.80 = 3,148.65/x
  3. Step 3: Cross multiply
    11,468.52x = 17,202.80 × 3,148.65
  4. Step 4: Simplify right side
    11,468.52x = 54,165,553.21
  5. Step 5: Solve for x
    x = 54,165,553.21/11,468.52
  6. Step 6: Final answer
    x = 4,722.98

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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.