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Finding the Fourth Proportional to 10,229.58, 15,344.70 and 2,833.41

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Solution

The fourth proportional to 10,229.58, 15,344.70 and 2,833.41 is: 4,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.58 : 15,344.70 = 2,833.41 : x
  2. Step 2: Convert to fraction form
    10,229.58/15,344.70 = 2,833.41/x
  3. Step 3: Cross multiply
    10,229.58x = 15,344.70 × 2,833.41
  4. Step 4: Simplify right side
    10,229.58x = 43,477,826.43
  5. Step 5: Solve for x
    x = 43,477,826.43/10,229.58
  6. Step 6: Final answer
    x = 4,250.21

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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.