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Finding the Fourth Proportional to 12,876.27, 17,758.76 and 8,683.71

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Solution

The fourth proportional to 12,876.27, 17,758.76 and 8,683.71 is: 11,976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.27 : 17,758.76 = 8,683.71 : x
  2. Step 2: Convert to fraction form
    12,876.27/17,758.76 = 8,683.71/x
  3. Step 3: Cross multiply
    12,876.27x = 17,758.76 × 8,683.71
  4. Step 4: Simplify right side
    12,876.27x = 154,211,878.38
  5. Step 5: Solve for x
    x = 154,211,878.38/12,876.27
  6. Step 6: Final answer
    x = 11,976.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.