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Finding the Fourth Proportional to 8,404.24, 12,609.96 and 3,477.46

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Solution

The fourth proportional to 8,404.24, 12,609.96 and 3,477.46 is: 5,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.24 : 12,609.96 = 3,477.46 : x
  2. Step 2: Convert to fraction form
    8,404.24/12,609.96 = 3,477.46/x
  3. Step 3: Cross multiply
    8,404.24x = 12,609.96 × 3,477.46
  4. Step 4: Simplify right side
    8,404.24x = 43,850,631.50
  5. Step 5: Solve for x
    x = 43,850,631.50/8,404.24
  6. Step 6: Final answer
    x = 5,217.68

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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.