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Finding the Fourth Proportional to 10,339.49, 14,269.24 and 5,863.63

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Solution

The fourth proportional to 10,339.49, 14,269.24 and 5,863.63 is: 8,092.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.49 : 14,269.24 = 5,863.63 : x
  2. Step 2: Convert to fraction form
    10,339.49/14,269.24 = 5,863.63/x
  3. Step 3: Cross multiply
    10,339.49x = 14,269.24 × 5,863.63
  4. Step 4: Simplify right side
    10,339.49x = 83,669,546.92
  5. Step 5: Solve for x
    x = 83,669,546.92/10,339.49
  6. Step 6: Final answer
    x = 8,092.23

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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.