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Finding the Fourth Proportional to 7,963.75, 11,991.92 and 5,898.41

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Solution

The fourth proportional to 7,963.75, 11,991.92 and 5,898.41 is: 8,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.75 : 11,991.92 = 5,898.41 : x
  2. Step 2: Convert to fraction form
    7,963.75/11,991.92 = 5,898.41/x
  3. Step 3: Cross multiply
    7,963.75x = 11,991.92 × 5,898.41
  4. Step 4: Simplify right side
    7,963.75x = 70,733,171.40
  5. Step 5: Solve for x
    x = 70,733,171.40/7,963.75
  6. Step 6: Final answer
    x = 8,881.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.