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Finding the Fourth Proportional to 7,107.81, 10,660.47 and 3,211.29

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Solution

The fourth proportional to 7,107.81, 10,660.47 and 3,211.29 is: 4,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.81 : 10,660.47 = 3,211.29 : x
  2. Step 2: Convert to fraction form
    7,107.81/10,660.47 = 3,211.29/x
  3. Step 3: Cross multiply
    7,107.81x = 10,660.47 × 3,211.29
  4. Step 4: Simplify right side
    7,107.81x = 34,233,860.71
  5. Step 5: Solve for x
    x = 34,233,860.71/7,107.81
  6. Step 6: Final answer
    x = 4,816.37

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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.