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Finding the Fourth Proportional to 7,340.82, 10,131.99 and 5,744.31

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Solution

The fourth proportional to 7,340.82, 10,131.99 and 5,744.31 is: 7,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.82 : 10,131.99 = 5,744.31 : x
  2. Step 2: Convert to fraction form
    7,340.82/10,131.99 = 5,744.31/x
  3. Step 3: Cross multiply
    7,340.82x = 10,131.99 × 5,744.31
  4. Step 4: Simplify right side
    7,340.82x = 58,201,291.48
  5. Step 5: Solve for x
    x = 58,201,291.48/7,340.82
  6. Step 6: Final answer
    x = 7,928.45

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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.