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Finding the Fourth Proportional to 7,722.41, 10,645.13 and 4,732.70

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Solution

The fourth proportional to 7,722.41, 10,645.13 and 4,732.70 is: 6,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.41 : 10,645.13 = 4,732.70 : x
  2. Step 2: Convert to fraction form
    7,722.41/10,645.13 = 4,732.70/x
  3. Step 3: Cross multiply
    7,722.41x = 10,645.13 × 4,732.70
  4. Step 4: Simplify right side
    7,722.41x = 50,380,183.09
  5. Step 5: Solve for x
    x = 50,380,183.09/7,722.41
  6. Step 6: Final answer
    x = 6,523.89

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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.