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Finding the Fourth Proportional to 7,512.87, 11,271.91 and 2,834.22

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Solution

The fourth proportional to 7,512.87, 11,271.91 and 2,834.22 is: 4,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.87 : 11,271.91 = 2,834.22 : x
  2. Step 2: Convert to fraction form
    7,512.87/11,271.91 = 2,834.22/x
  3. Step 3: Cross multiply
    7,512.87x = 11,271.91 × 2,834.22
  4. Step 4: Simplify right side
    7,512.87x = 31,947,072.76
  5. Step 5: Solve for x
    x = 31,947,072.76/7,512.87
  6. Step 6: Final answer
    x = 4,252.31

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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.