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Finding the Fourth Proportional to 7,213.97, 10,827.08 and 2,834.48

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Solution

The fourth proportional to 7,213.97, 10,827.08 and 2,834.48 is: 4,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.97 : 10,827.08 = 2,834.48 : x
  2. Step 2: Convert to fraction form
    7,213.97/10,827.08 = 2,834.48/x
  3. Step 3: Cross multiply
    7,213.97x = 10,827.08 × 2,834.48
  4. Step 4: Simplify right side
    7,213.97x = 30,689,141.72
  5. Step 5: Solve for x
    x = 30,689,141.72/7,213.97
  6. Step 6: Final answer
    x = 4,254.13

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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.