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Finding the Fourth Proportional to 7,356.92, 11,043.24 and 2,977.24

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Solution

The fourth proportional to 7,356.92, 11,043.24 and 2,977.24 is: 4,469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356.92 : 11,043.24 = 2,977.24 : x
  2. Step 2: Convert to fraction form
    7,356.92/11,043.24 = 2,977.24/x
  3. Step 3: Cross multiply
    7,356.92x = 11,043.24 × 2,977.24
  4. Step 4: Simplify right side
    7,356.92x = 32,878,375.86
  5. Step 5: Solve for x
    x = 32,878,375.86/7,356.92
  6. Step 6: Final answer
    x = 4,469.04

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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.