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Finding the Fourth Proportional to 8,230.47, 12,321.48 and 5,100.42

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Solution

The fourth proportional to 8,230.47, 12,321.48 and 5,100.42 is: 7,635.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.47 : 12,321.48 = 5,100.42 : x
  2. Step 2: Convert to fraction form
    8,230.47/12,321.48 = 5,100.42/x
  3. Step 3: Cross multiply
    8,230.47x = 12,321.48 × 5,100.42
  4. Step 4: Simplify right side
    8,230.47x = 62,844,723.02
  5. Step 5: Solve for x
    x = 62,844,723.02/8,230.47
  6. Step 6: Final answer
    x = 7,635.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.