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Finding the Fourth Proportional to 7,323.64, 10,996.40 and 7,214.29

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Solution

The fourth proportional to 7,323.64, 10,996.40 and 7,214.29 is: 10,832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.64 : 10,996.40 = 7,214.29 : x
  2. Step 2: Convert to fraction form
    7,323.64/10,996.40 = 7,214.29/x
  3. Step 3: Cross multiply
    7,323.64x = 10,996.40 × 7,214.29
  4. Step 4: Simplify right side
    7,323.64x = 79,331,218.56
  5. Step 5: Solve for x
    x = 79,331,218.56/7,323.64
  6. Step 6: Final answer
    x = 10,832.21

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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.