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Finding the Fourth Proportional to 7,323.38, 10,996 and 7,214.03

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Solution

The fourth proportional to 7,323.38, 10,996 and 7,214.03 is: 10,831.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.38 : 10,996 = 7,214.03 : x
  2. Step 2: Convert to fraction form
    7,323.38/10,996 = 7,214.03/x
  3. Step 3: Cross multiply
    7,323.38x = 10,996 × 7,214.03
  4. Step 4: Simplify right side
    7,323.38x = 79,325,473.88
  5. Step 5: Solve for x
    x = 79,325,473.88/7,323.38
  6. Step 6: Final answer
    x = 10,831.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.