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Finding the Fourth Proportional to 7,448, 11,171.82 and 3,062.48

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Solution

The fourth proportional to 7,448, 11,171.82 and 3,062.48 is: 4,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448 : 11,171.82 = 3,062.48 : x
  2. Step 2: Convert to fraction form
    7,448/11,171.82 = 3,062.48/x
  3. Step 3: Cross multiply
    7,448x = 11,171.82 × 3,062.48
  4. Step 4: Simplify right side
    7,448x = 34,213,475.31
  5. Step 5: Solve for x
    x = 34,213,475.31/7,448
  6. Step 6: Final answer
    x = 4,593.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.