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Finding the Fourth Proportional to 7,212.81, 10,820.78 and 2,215.20

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Solution

The fourth proportional to 7,212.81, 10,820.78 and 2,215.20 is: 3,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.81 : 10,820.78 = 2,215.20 : x
  2. Step 2: Convert to fraction form
    7,212.81/10,820.78 = 2,215.20/x
  3. Step 3: Cross multiply
    7,212.81x = 10,820.78 × 2,215.20
  4. Step 4: Simplify right side
    7,212.81x = 23,970,191.86
  5. Step 5: Solve for x
    x = 23,970,191.86/7,212.81
  6. Step 6: Final answer
    x = 3,323.28

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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.