Home / 10,822.62-16,232.10-3,029.64

Finding the Fourth Proportional to 10,822.62, 16,232.10 and 3,029.64

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Solution

The fourth proportional to 10,822.62, 16,232.10 and 3,029.64 is: 4,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.62 : 16,232.10 = 3,029.64 : x
  2. Step 2: Convert to fraction form
    10,822.62/16,232.10 = 3,029.64/x
  3. Step 3: Cross multiply
    10,822.62x = 16,232.10 × 3,029.64
  4. Step 4: Simplify right side
    10,822.62x = 49,177,419.44
  5. Step 5: Solve for x
    x = 49,177,419.44/10,822.62
  6. Step 6: Final answer
    x = 4,543.95

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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.