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Finding the Fourth Proportional to 8,200.80, 11,316.24 and 4,663.44

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Solution

The fourth proportional to 8,200.80, 11,316.24 and 4,663.44 is: 6,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.80 : 11,316.24 = 4,663.44 : x
  2. Step 2: Convert to fraction form
    8,200.80/11,316.24 = 4,663.44/x
  3. Step 3: Cross multiply
    8,200.80x = 11,316.24 × 4,663.44
  4. Step 4: Simplify right side
    8,200.80x = 52,772,606.27
  5. Step 5: Solve for x
    x = 52,772,606.27/8,200.80
  6. Step 6: Final answer
    x = 6,435.06

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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.