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Finding the Fourth Proportional to 7,016.81, 9,682.50 and 3,872.79

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Solution

The fourth proportional to 7,016.81, 9,682.50 and 3,872.79 is: 5,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.81 : 9,682.50 = 3,872.79 : x
  2. Step 2: Convert to fraction form
    7,016.81/9,682.50 = 3,872.79/x
  3. Step 3: Cross multiply
    7,016.81x = 9,682.50 × 3,872.79
  4. Step 4: Simplify right side
    7,016.81x = 37,498,289.18
  5. Step 5: Solve for x
    x = 37,498,289.18/7,016.81
  6. Step 6: Final answer
    x = 5,344.07

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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.