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Finding the Fourth Proportional to 7,770.24, 10,722.86 and 4,233.44

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Solution

The fourth proportional to 7,770.24, 10,722.86 and 4,233.44 is: 5,842.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.24 : 10,722.86 = 4,233.44 : x
  2. Step 2: Convert to fraction form
    7,770.24/10,722.86 = 4,233.44/x
  3. Step 3: Cross multiply
    7,770.24x = 10,722.86 × 4,233.44
  4. Step 4: Simplify right side
    7,770.24x = 45,394,584.44
  5. Step 5: Solve for x
    x = 45,394,584.44/7,770.24
  6. Step 6: Final answer
    x = 5,842.11

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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.