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Finding the Fourth Proportional to 8,230.12, 11,358.48 and 4,694.20

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Solution

The fourth proportional to 8,230.12, 11,358.48 and 4,694.20 is: 6,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.12 : 11,358.48 = 4,694.20 : x
  2. Step 2: Convert to fraction form
    8,230.12/11,358.48 = 4,694.20/x
  3. Step 3: Cross multiply
    8,230.12x = 11,358.48 × 4,694.20
  4. Step 4: Simplify right side
    8,230.12x = 53,318,976.82
  5. Step 5: Solve for x
    x = 53,318,976.82/8,230.12
  6. Step 6: Final answer
    x = 6,478.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.