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Finding the Fourth Proportional to 7,215.96, 10,823.94 and 3,323.10

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Solution

The fourth proportional to 7,215.96, 10,823.94 and 3,323.10 is: 4,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.96 : 10,823.94 = 3,323.10 : x
  2. Step 2: Convert to fraction form
    7,215.96/10,823.94 = 3,323.10/x
  3. Step 3: Cross multiply
    7,215.96x = 10,823.94 × 3,323.10
  4. Step 4: Simplify right side
    7,215.96x = 35,969,035.01
  5. Step 5: Solve for x
    x = 35,969,035.01/7,215.96
  6. Step 6: Final answer
    x = 4,984.65

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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.