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Finding the Fourth Proportional to 8,230.60, 12,346.10 and 2,684.53

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Solution

The fourth proportional to 8,230.60, 12,346.10 and 2,684.53 is: 4,026.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.60 : 12,346.10 = 2,684.53 : x
  2. Step 2: Convert to fraction form
    8,230.60/12,346.10 = 2,684.53/x
  3. Step 3: Cross multiply
    8,230.60x = 12,346.10 × 2,684.53
  4. Step 4: Simplify right side
    8,230.60x = 33,143,475.83
  5. Step 5: Solve for x
    x = 33,143,475.83/8,230.60
  6. Step 6: Final answer
    x = 4,026.86

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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.