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Finding the Fourth Proportional to 8,696.63, 13,034.90 and 4,006.83

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Solution

The fourth proportional to 8,696.63, 13,034.90 and 4,006.83 is: 6,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.63 : 13,034.90 = 4,006.83 : x
  2. Step 2: Convert to fraction form
    8,696.63/13,034.90 = 4,006.83/x
  3. Step 3: Cross multiply
    8,696.63x = 13,034.90 × 4,006.83
  4. Step 4: Simplify right side
    8,696.63x = 52,228,608.33
  5. Step 5: Solve for x
    x = 52,228,608.33/8,696.63
  6. Step 6: Final answer
    x = 6,005.62

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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.