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Finding the Fourth Proportional to 8,549.92, 12,826.50 and 2,706.04

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Solution

The fourth proportional to 8,549.92, 12,826.50 and 2,706.04 is: 4,059.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.92 : 12,826.50 = 2,706.04 : x
  2. Step 2: Convert to fraction form
    8,549.92/12,826.50 = 2,706.04/x
  3. Step 3: Cross multiply
    8,549.92x = 12,826.50 × 2,706.04
  4. Step 4: Simplify right side
    8,549.92x = 34,709,022.06
  5. Step 5: Solve for x
    x = 34,709,022.06/8,549.92
  6. Step 6: Final answer
    x = 4,059.57

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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.