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Finding the Fourth Proportional to 8,696.20, 13,042.94 and 2,456.68

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Solution

The fourth proportional to 8,696.20, 13,042.94 and 2,456.68 is: 3,684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.20 : 13,042.94 = 2,456.68 : x
  2. Step 2: Convert to fraction form
    8,696.20/13,042.94 = 2,456.68/x
  3. Step 3: Cross multiply
    8,696.20x = 13,042.94 × 2,456.68
  4. Step 4: Simplify right side
    8,696.20x = 32,042,329.84
  5. Step 5: Solve for x
    x = 32,042,329.84/8,696.20
  6. Step 6: Final answer
    x = 3,684.64

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