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Finding the Fourth Proportional to 8,269.67, 12,405.29 and 2,346.68

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Solution

The fourth proportional to 8,269.67, 12,405.29 and 2,346.68 is: 3,520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.67 : 12,405.29 = 2,346.68 : x
  2. Step 2: Convert to fraction form
    8,269.67/12,405.29 = 2,346.68/x
  3. Step 3: Cross multiply
    8,269.67x = 12,405.29 × 2,346.68
  4. Step 4: Simplify right side
    8,269.67x = 29,111,245.94
  5. Step 5: Solve for x
    x = 29,111,245.94/8,269.67
  6. Step 6: Final answer
    x = 3,520.24

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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.