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Finding the Fourth Proportional to 8,230.96, 11,358.66 and 4,454.10

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Solution

The fourth proportional to 8,230.96, 11,358.66 and 4,454.10 is: 6,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.96 : 11,358.66 = 4,454.10 : x
  2. Step 2: Convert to fraction form
    8,230.96/11,358.66 = 4,454.10/x
  3. Step 3: Cross multiply
    8,230.96x = 11,358.66 × 4,454.10
  4. Step 4: Simplify right side
    8,230.96x = 50,592,528.44
  5. Step 5: Solve for x
    x = 50,592,528.44/8,230.96
  6. Step 6: Final answer
    x = 6,146.62

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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.