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Finding the Fourth Proportional to 8,200.10, 11,315.49 and 4,662.56

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Solution

The fourth proportional to 8,200.10, 11,315.49 and 4,662.56 is: 6,433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.10 : 11,315.49 = 4,662.56 : x
  2. Step 2: Convert to fraction form
    8,200.10/11,315.49 = 4,662.56/x
  3. Step 3: Cross multiply
    8,200.10x = 11,315.49 × 4,662.56
  4. Step 4: Simplify right side
    8,200.10x = 52,759,151.05
  5. Step 5: Solve for x
    x = 52,759,151.05/8,200.10
  6. Step 6: Final answer
    x = 6,433.96

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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.