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Finding the Fourth Proportional to 7,022.96, 10,532.64 and 3,324.20

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Solution

The fourth proportional to 7,022.96, 10,532.64 and 3,324.20 is: 4,985.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.96 : 10,532.64 = 3,324.20 : x
  2. Step 2: Convert to fraction form
    7,022.96/10,532.64 = 3,324.20/x
  3. Step 3: Cross multiply
    7,022.96x = 10,532.64 × 3,324.20
  4. Step 4: Simplify right side
    7,022.96x = 35,012,601.89
  5. Step 5: Solve for x
    x = 35,012,601.89/7,022.96
  6. Step 6: Final answer
    x = 4,985.45

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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.