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Finding the Fourth Proportional to 11,976.60, 17,957.08 and 5,736.41

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Solution

The fourth proportional to 11,976.60, 17,957.08 and 5,736.41 is: 8,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976.60 : 17,957.08 = 5,736.41 : x
  2. Step 2: Convert to fraction form
    11,976.60/17,957.08 = 5,736.41/x
  3. Step 3: Cross multiply
    11,976.60x = 17,957.08 × 5,736.41
  4. Step 4: Simplify right side
    11,976.60x = 103,009,259.02
  5. Step 5: Solve for x
    x = 103,009,259.02/11,976.60
  6. Step 6: Final answer
    x = 8,600.87

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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.