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Finding the Fourth Proportional to 7,201.09, 10,800.42 and 2,005.75

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Solution

The fourth proportional to 7,201.09, 10,800.42 and 2,005.75 is: 3,008.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.09 : 10,800.42 = 2,005.75 : x
  2. Step 2: Convert to fraction form
    7,201.09/10,800.42 = 2,005.75/x
  3. Step 3: Cross multiply
    7,201.09x = 10,800.42 × 2,005.75
  4. Step 4: Simplify right side
    7,201.09x = 21,662,942.42
  5. Step 5: Solve for x
    x = 21,662,942.42/7,201.09
  6. Step 6: Final answer
    x = 3,008.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.