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Finding the Fourth Proportional to 10,679.50, 14,737.71 and 5,963.82

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Solution

The fourth proportional to 10,679.50, 14,737.71 and 5,963.82 is: 8,230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.50 : 14,737.71 = 5,963.82 : x
  2. Step 2: Convert to fraction form
    10,679.50/14,737.71 = 5,963.82/x
  3. Step 3: Cross multiply
    10,679.50x = 14,737.71 × 5,963.82
  4. Step 4: Simplify right side
    10,679.50x = 87,893,049.65
  5. Step 5: Solve for x
    x = 87,893,049.65/10,679.50
  6. Step 6: Final answer
    x = 8,230.07

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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.