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Finding the Fourth Proportional to 10,576.89, 15,854.17 and 3,550.24

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Solution

The fourth proportional to 10,576.89, 15,854.17 and 3,550.24 is: 5,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.89 : 15,854.17 = 3,550.24 : x
  2. Step 2: Convert to fraction form
    10,576.89/15,854.17 = 3,550.24/x
  3. Step 3: Cross multiply
    10,576.89x = 15,854.17 × 3,550.24
  4. Step 4: Simplify right side
    10,576.89x = 56,286,108.50
  5. Step 5: Solve for x
    x = 56,286,108.50/10,576.89
  6. Step 6: Final answer
    x = 5,321.61

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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.