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Finding the Fourth Proportional to 7,840.92, 10,812.42 and 5,453.64

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Solution

The fourth proportional to 7,840.92, 10,812.42 and 5,453.64 is: 7,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.92 : 10,812.42 = 5,453.64 : x
  2. Step 2: Convert to fraction form
    7,840.92/10,812.42 = 5,453.64/x
  3. Step 3: Cross multiply
    7,840.92x = 10,812.42 × 5,453.64
  4. Step 4: Simplify right side
    7,840.92x = 58,967,046.21
  5. Step 5: Solve for x
    x = 58,967,046.21/7,840.92
  6. Step 6: Final answer
    x = 7,520.42

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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.