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Finding the Fourth Proportional to 7,214.43, 10,821.54 and 5,979.23

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Solution

The fourth proportional to 7,214.43, 10,821.54 and 5,979.23 is: 8,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.43 : 10,821.54 = 5,979.23 : x
  2. Step 2: Convert to fraction form
    7,214.43/10,821.54 = 5,979.23/x
  3. Step 3: Cross multiply
    7,214.43x = 10,821.54 × 5,979.23
  4. Step 4: Simplify right side
    7,214.43x = 64,704,512.75
  5. Step 5: Solve for x
    x = 64,704,512.75/7,214.43
  6. Step 6: Final answer
    x = 8,968.76

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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.