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Finding the Fourth Proportional to 8,681.20, 11,976.36 and 5,696.36

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Solution

The fourth proportional to 8,681.20, 11,976.36 and 5,696.36 is: 7,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.20 : 11,976.36 = 5,696.36 : x
  2. Step 2: Convert to fraction form
    8,681.20/11,976.36 = 5,696.36/x
  3. Step 3: Cross multiply
    8,681.20x = 11,976.36 × 5,696.36
  4. Step 4: Simplify right side
    8,681.20x = 68,221,658.05
  5. Step 5: Solve for x
    x = 68,221,658.05/8,681.20
  6. Step 6: Final answer
    x = 7,858.55

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