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Finding the Fourth Proportional to 7,424.87, 10,240.02 and 5,743.31

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Solution

The fourth proportional to 7,424.87, 10,240.02 and 5,743.31 is: 7,920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424.87 : 10,240.02 = 5,743.31 : x
  2. Step 2: Convert to fraction form
    7,424.87/10,240.02 = 5,743.31/x
  3. Step 3: Cross multiply
    7,424.87x = 10,240.02 × 5,743.31
  4. Step 4: Simplify right side
    7,424.87x = 58,811,558.07
  5. Step 5: Solve for x
    x = 58,811,558.07/7,424.87
  6. Step 6: Final answer
    x = 7,920.89

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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.