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Finding the Fourth Proportional to 8,549.51, 12,824.25 and 2,706.57

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Solution

The fourth proportional to 8,549.51, 12,824.25 and 2,706.57 is: 4,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.51 : 12,824.25 = 2,706.57 : x
  2. Step 2: Convert to fraction form
    8,549.51/12,824.25 = 2,706.57/x
  3. Step 3: Cross multiply
    8,549.51x = 12,824.25 × 2,706.57
  4. Step 4: Simplify right side
    8,549.51x = 34,709,730.32
  5. Step 5: Solve for x
    x = 34,709,730.32/8,549.51
  6. Step 6: Final answer
    x = 4,059.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.