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Finding the Fourth Proportional to 7,202.19, 10,805.37 and 3,040

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Solution

The fourth proportional to 7,202.19, 10,805.37 and 3,040 is: 4,560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.19 : 10,805.37 = 3,040 : x
  2. Step 2: Convert to fraction form
    7,202.19/10,805.37 = 3,040/x
  3. Step 3: Cross multiply
    7,202.19x = 10,805.37 × 3,040
  4. Step 4: Simplify right side
    7,202.19x = 32,848,324.80
  5. Step 5: Solve for x
    x = 32,848,324.80/7,202.19
  6. Step 6: Final answer
    x = 4,560.88

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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.