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Finding the Fourth Proportional to 7,224.17, 10,827.99 and 3,278.43

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Solution

The fourth proportional to 7,224.17, 10,827.99 and 3,278.43 is: 4,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.17 : 10,827.99 = 3,278.43 : x
  2. Step 2: Convert to fraction form
    7,224.17/10,827.99 = 3,278.43/x
  3. Step 3: Cross multiply
    7,224.17x = 10,827.99 × 3,278.43
  4. Step 4: Simplify right side
    7,224.17x = 35,498,807.26
  5. Step 5: Solve for x
    x = 35,498,807.26/7,224.17
  6. Step 6: Final answer
    x = 4,913.90

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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.