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Finding the Fourth Proportional to 11,449.42, 15,797.25 and 6,732.82

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Solution

The fourth proportional to 11,449.42, 15,797.25 and 6,732.82 is: 9,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.42 : 15,797.25 = 6,732.82 : x
  2. Step 2: Convert to fraction form
    11,449.42/15,797.25 = 6,732.82/x
  3. Step 3: Cross multiply
    11,449.42x = 15,797.25 × 6,732.82
  4. Step 4: Simplify right side
    11,449.42x = 106,360,040.75
  5. Step 5: Solve for x
    x = 106,360,040.75/11,449.42
  6. Step 6: Final answer
    x = 9,289.56

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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.