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Finding the Fourth Proportional to 7,320.56, 10,982.24 and 3,812.24

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Solution

The fourth proportional to 7,320.56, 10,982.24 and 3,812.24 is: 5,719.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,320.56 : 10,982.24 = 3,812.24 : x
  2. Step 2: Convert to fraction form
    7,320.56/10,982.24 = 3,812.24/x
  3. Step 3: Cross multiply
    7,320.56x = 10,982.24 × 3,812.24
  4. Step 4: Simplify right side
    7,320.56x = 41,866,934.62
  5. Step 5: Solve for x
    x = 41,866,934.62/7,320.56
  6. Step 6: Final answer
    x = 5,719.09

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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.