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Finding the Fourth Proportional to 8,329.10, 12,493.50 and 3,397.58

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Solution

The fourth proportional to 8,329.10, 12,493.50 and 3,397.58 is: 5,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.10 : 12,493.50 = 3,397.58 : x
  2. Step 2: Convert to fraction form
    8,329.10/12,493.50 = 3,397.58/x
  3. Step 3: Cross multiply
    8,329.10x = 12,493.50 × 3,397.58
  4. Step 4: Simplify right side
    8,329.10x = 42,447,665.73
  5. Step 5: Solve for x
    x = 42,447,665.73/8,329.10
  6. Step 6: Final answer
    x = 5,096.31

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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.