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Finding the Fourth Proportional to 8,696.73, 13,033.31 and 4,006.43

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Solution

The fourth proportional to 8,696.73, 13,033.31 and 4,006.43 is: 6,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.73 : 13,033.31 = 4,006.43 : x
  2. Step 2: Convert to fraction form
    8,696.73/13,033.31 = 4,006.43/x
  3. Step 3: Cross multiply
    8,696.73x = 13,033.31 × 4,006.43
  4. Step 4: Simplify right side
    8,696.73x = 52,217,007.86
  5. Step 5: Solve for x
    x = 52,217,007.86/8,696.73
  6. Step 6: Final answer
    x = 6,004.21

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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.