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Finding the Fourth Proportional to 7,522.92, 10,380.87 and 4,164.84

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Solution

The fourth proportional to 7,522.92, 10,380.87 and 4,164.84 is: 5,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.92 : 10,380.87 = 4,164.84 : x
  2. Step 2: Convert to fraction form
    7,522.92/10,380.87 = 4,164.84/x
  3. Step 3: Cross multiply
    7,522.92x = 10,380.87 × 4,164.84
  4. Step 4: Simplify right side
    7,522.92x = 43,234,662.61
  5. Step 5: Solve for x
    x = 43,234,662.61/7,522.92
  6. Step 6: Final answer
    x = 5,747.06

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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.