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Finding the Fourth Proportional to 10,976.60, 16,468.60 and 3,481.38

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Solution

The fourth proportional to 10,976.60, 16,468.60 and 3,481.38 is: 5,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.60 : 16,468.60 = 3,481.38 : x
  2. Step 2: Convert to fraction form
    10,976.60/16,468.60 = 3,481.38/x
  3. Step 3: Cross multiply
    10,976.60x = 16,468.60 × 3,481.38
  4. Step 4: Simplify right side
    10,976.60x = 57,333,454.67
  5. Step 5: Solve for x
    x = 57,333,454.67/10,976.60
  6. Step 6: Final answer
    x = 5,223.24

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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.