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Finding the Fourth Proportional to 7,202.88, 10,805.34 and 2,271.96

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Solution

The fourth proportional to 7,202.88, 10,805.34 and 2,271.96 is: 3,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.88 : 10,805.34 = 2,271.96 : x
  2. Step 2: Convert to fraction form
    7,202.88/10,805.34 = 2,271.96/x
  3. Step 3: Cross multiply
    7,202.88x = 10,805.34 × 2,271.96
  4. Step 4: Simplify right side
    7,202.88x = 24,549,300.27
  5. Step 5: Solve for x
    x = 24,549,300.27/7,202.88
  6. Step 6: Final answer
    x = 3,408.26

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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.