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Finding the Fourth Proportional to 10,678.99, 14,737.24 and 5,963.26

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Solution

The fourth proportional to 10,678.99, 14,737.24 and 5,963.26 is: 8,229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.99 : 14,737.24 = 5,963.26 : x
  2. Step 2: Convert to fraction form
    10,678.99/14,737.24 = 5,963.26/x
  3. Step 3: Cross multiply
    10,678.99x = 14,737.24 × 5,963.26
  4. Step 4: Simplify right side
    10,678.99x = 87,881,993.80
  5. Step 5: Solve for x
    x = 87,881,993.80/10,678.99
  6. Step 6: Final answer
    x = 8,229.43

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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.