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Finding the Fourth Proportional to 8,506.92, 12,768.42 and 5,226.42

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Solution

The fourth proportional to 8,506.92, 12,768.42 and 5,226.42 is: 7,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.92 : 12,768.42 = 5,226.42 : x
  2. Step 2: Convert to fraction form
    8,506.92/12,768.42 = 5,226.42/x
  3. Step 3: Cross multiply
    8,506.92x = 12,768.42 × 5,226.42
  4. Step 4: Simplify right side
    8,506.92x = 66,733,125.66
  5. Step 5: Solve for x
    x = 66,733,125.66/8,506.92
  6. Step 6: Final answer
    x = 7,844.57

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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.