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Finding the Fourth Proportional to 7,204.89, 10,809.15 and 2,010.75

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Solution

The fourth proportional to 7,204.89, 10,809.15 and 2,010.75 is: 3,016.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.89 : 10,809.15 = 2,010.75 : x
  2. Step 2: Convert to fraction form
    7,204.89/10,809.15 = 2,010.75/x
  3. Step 3: Cross multiply
    7,204.89x = 10,809.15 × 2,010.75
  4. Step 4: Simplify right side
    7,204.89x = 21,734,498.36
  5. Step 5: Solve for x
    x = 21,734,498.36/7,204.89
  6. Step 6: Final answer
    x = 3,016.63

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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.