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Finding the Fourth Proportional to 7,245.75, 10,004.97 and 5,824.89

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Solution

The fourth proportional to 7,245.75, 10,004.97 and 5,824.89 is: 8,043.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.75 : 10,004.97 = 5,824.89 : x
  2. Step 2: Convert to fraction form
    7,245.75/10,004.97 = 5,824.89/x
  3. Step 3: Cross multiply
    7,245.75x = 10,004.97 × 5,824.89
  4. Step 4: Simplify right side
    7,245.75x = 58,277,849.70
  5. Step 5: Solve for x
    x = 58,277,849.70/7,245.75
  6. Step 6: Final answer
    x = 8,043.04

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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.