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Finding the Fourth Proportional to 8,189.54, 11,293.64 and 5,200.10

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Solution

The fourth proportional to 8,189.54, 11,293.64 and 5,200.10 is: 7,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.54 : 11,293.64 = 5,200.10 : x
  2. Step 2: Convert to fraction form
    8,189.54/11,293.64 = 5,200.10/x
  3. Step 3: Cross multiply
    8,189.54x = 11,293.64 × 5,200.10
  4. Step 4: Simplify right side
    8,189.54x = 58,728,057.36
  5. Step 5: Solve for x
    x = 58,728,057.36/8,189.54
  6. Step 6: Final answer
    x = 7,171.11

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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.